Cremona's table of elliptic curves

23520 = 2⁵ · 3 · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7-	Signs for the Atkin-Lehner involutions
Class	23520bf	Isogeny class
Conductor	23520	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	576348333120000 = 29 · 37 · 54 · 77	Discriminant
Eigenvalues	2- 3+ 5+ 7-  4  6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5000940016,136122808277716]	[a1,a2,a3,a4,a6]
Generators	[7697456079710010830158540806:27314368635564111421957:188529134456922314361272]	Generators of the group modulo torsion
j	229625675762164624948320008/9568125	j-invariant
L	4.5618756264676	L(r)(E,1)/r!
Ω	0.12750598628775	Real period
R	35.77773686776	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	23520br4 47040hi4 70560bv4 117600de4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 23520bf4

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	+	-	4	6	-6	-4	4	-2	8	6	-6	-8	0	6	-4	-10	-8	-12	14	16	-12	-14	-18

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Quadratic twists for elliptic curve 23520bf4

-4	8	-3	5	-7
23520br4	47040hi4	70560bv4	117600de4	3360x2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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