Cremona's table of elliptic curves

410 = 2 · 5 · 41

Field	Data	Notes
Atkin-Lehner	2+ 5- 41+	Signs for the Atkin-Lehner involutions
Class	410c	Isogeny class
Conductor	410	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	1520033357120 = 26 · 5 · 416	Discriminant
Eigenvalues	2+ -2 5-  2  0 -4  0  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-3143,32586]	[a1,a2,a3,a4,a6]
j	3432086371273321/1520033357120	j-invariant
L	0.76260551393537	L(r)(E,1)/r!
Ω	0.76260551393537	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	3280j4 13120c4 3690r4 2050d4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 410c4

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

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Quadratic twists for elliptic curve 410c4

-4	8	-3	5	-7	-11	13	17	41
3280j4	13120c4	3690r4	2050d4	20090b4	49610bb4	69290s4	118490c4	16810d4

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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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