Cremona's table of elliptic curves

4495 = 5 · 29 · 31

Field	Data	Notes
Atkin-Lehner	5+ 29- 31-	Signs for the Atkin-Lehner involutions
Class	4495c	Isogeny class
Conductor	4495	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	720	Modular degree for the optimal curve
Δ	-18901475 = -1 · 52 · 293 · 31	Discriminant
Eigenvalues	0  1 5+ -1  3 -4 -3  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,29,210]	[a1,a2,a3,a4,a6]
Generators	[42:181:8]	Generators of the group modulo torsion
j	2605285376/18901475	j-invariant
L	3.2193967096961	L(r)(E,1)/r!
Ω	1.5824851440438	Real period
R	3.0515895095256	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	71920m1 40455m1 22475f1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 4495c1

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	1	+	-1	3	-4	-3	8	6	-	-	2	0	8	-6	6	-12	-7	-7	-12	5	8	-6	3	-10

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Quadratic twists for elliptic curve 4495c1

-4	-3	5
71920m1	40455m1	22475f1

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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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