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	23520br	Isogeny class
Conductor	23520	Conductor
∏ cp	224	Product of Tamagawa factors cp
deg	5160960	Modular degree for the optimal curve
Δ	6.8932161185422E+20	Discriminant
Eigenvalues	2- 3- 5+ 7- -4  6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-312558766,-2126996800216]	[a1,a2,a3,a4,a6]
j	448487713888272974160064/91549016015625	j-invariant
L	2.010734205603	L(r)(E,1)/r!
Ω	0.035905967957197	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	23520bf1 47040fk2 70560bs1 117600bc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 23520br1

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 23520br1

-4	8	-3	5	-7
23520bf1	47040fk2	70560bs1	117600bc1	3360q1

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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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