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	23520c	Isogeny class
Conductor	23520	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	17920	Modular degree for the optimal curve
Δ	38739462720 = 26 · 3 · 5 · 79	Discriminant
Eigenvalues	2+ 3+ 5+ 7- -2  2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1486,-19424]	[a1,a2,a3,a4,a6]
j	140608/15	j-invariant
L	0.77421171813707	L(r)(E,1)/r!
Ω	0.77421171813711	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	23520o1 47040gw1 70560dw1 117600gy1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 23520c1

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
+	+	+	-	-2	2	0	-4	0	-4	-6	-8	-10	10	6	10	12	-14	6	-16	-2	0	0	-10	2

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Quadratic twists for elliptic curve 23520c1

-4	8	-3	5	-7
23520o1	47040gw1	70560dw1	117600gy1	23520t1

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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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