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	4945d	Isogeny class
Conductor	4945	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	-204367578125 = -1 · 58 · 233 · 43	Discriminant
Eigenvalues	1 -1 5- -2  1  5  0 -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,1363,10486]	[a1,a2,a3,a4,a6]
Generators	[2:114:1]	Generators of the group modulo torsion
j	279713432716199/204367578125	j-invariant
L	3.7309483407199	L(r)(E,1)/r!
Ω	0.6384005661117	Real period
R	0.24350883930158	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	79120u1 44505c1 24725c1 113735d1	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 4945d1

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
1	-1	-	-2	1	5	0	-6	-	10	8	5	2	+	-12	-12	-6	-1	-9	-5	-14	-13	3	-1	12

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Quadratic twists for elliptic curve 4945d1

-4	-3	5	-23
79120u1	44505c1	24725c1	113735d1

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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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