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	410b	Isogeny class
Conductor	410	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	17196646400 = 224 · 52 · 41	Discriminant
Eigenvalues	2-  0 5-  4  0 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1387,-18501]	[a1,a2,a3,a4,a6]
j	294889639316481/17196646400	j-invariant
L	2.3556195631731	L(r)(E,1)/r!
Ω	0.78520652105769	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	3280n1 13120k1 3690f1 2050a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 410b1

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	-	4	0	-2	2	0	0	-2	0	6	-	-4	-12	-10	-4	-2	-8	-4	-6	4	-4	10	18

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Quadratic twists for elliptic curve 410b1

-4	8	-3	5	-7	-11	13	17	41
3280n1	13120k1	3690f1	2050a1	20090g1	49610i1	69290b1	118490m1	16810f1

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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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