Cremona's table of elliptic curves

22960 = 2⁴ · 5 · 7 · 41

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7- 41+	Signs for the Atkin-Lehner involutions
Class	22960c	Isogeny class
Conductor	22960	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	10240	Modular degree for the optimal curve
Δ	1285760000 = 210 · 54 · 72 · 41	Discriminant
Eigenvalues	2+ -2 5+ 7- -2  0 -6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-736,-7740]	[a1,a2,a3,a4,a6]
Generators	[-16:14:1] [-14:4:1]	Generators of the group modulo torsion
j	43116861316/1255625	j-invariant
L	5.4562363497724	L(r)(E,1)/r!
Ω	0.91812997266124	Real period
R	1.4856927973819	Regulator
r	2	Rank of the group of rational points
S	0.99999999999985	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11480b1 91840bp1 114800d1	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 22960c1

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

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Quadratic twists for elliptic curve 22960c1

-4	8	5
11480b1	91840bp1	114800d1

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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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