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	192	Product of Tamagawa factors cp
Δ	-70644025000000 = -1 · 26 · 58 · 414	Discriminant
Eigenvalues	2-  0 5-  4  0 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-21547,-1277381]	[a1,a2,a3,a4,a6]
j	-1106280483969259521/70644025000000	j-invariant
L	2.3556195631731	L(r)(E,1)/r!
Ω	0.19630163026442	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	3280n4 13120k4 3690f4 2050a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 410b4

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 410b4

-4	8	-3	5	-7	-11	13	17	41
3280n4	13120k4	3690f4	2050a4	20090g4	49610i3	69290b3	118490m3	16810f4

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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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