Cremona's table of elliptic curves

4945 = 5 · 23 · 43

Field	Data	Notes
Atkin-Lehner	5- 23- 43+	Signs for the Atkin-Lehner involutions
Class	4945c	Isogeny class
Conductor	4945	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	1488	Modular degree for the optimal curve
Δ	-112483915 = -1 · 5 · 233 · 432	Discriminant
Eigenvalues	0 -2 5-  1  4 -2 -7  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-165,909]	[a1,a2,a3,a4,a6]
Generators	[63:494:1]	Generators of the group modulo torsion
j	-499810041856/112483915	j-invariant
L	2.3553090595043	L(r)(E,1)/r!
Ω	1.7896089283216	Real period
R	0.21935044226984	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	79120w1 44505a1 24725a1 113735c1	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 4945c1

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
0	-2	-	1	4	-2	-7	0	-	-7	7	-1	5	+	-8	-11	11	0	15	7	10	10	-9	-6	-18

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Quadratic twists for elliptic curve 4945c1

-4	-3	5	-23
79120w1	44505a1	24725a1	113735c1

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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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