Cremona's table of elliptic curves

2210 = 2 · 5 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 5- 13- 17-	Signs for the Atkin-Lehner involutions
Class	2210g	Isogeny class
Conductor	2210	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	1320660640000 = 28 · 54 · 134 · 172	Discriminant
Eigenvalues	2-  0 5- -4  0 13- 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-2862,-19651]	[a1,a2,a3,a4,a6]
Generators	[-33:211:1]	Generators of the group modulo torsion
j	2591733435976881/1320660640000	j-invariant
L	4.1997795250361	L(r)(E,1)/r!
Ω	0.68914698064876	Real period
R	0.38088568576133	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	17680o2 70720f2 19890h2 11050a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2210g2

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	-	-	-4	4	-10	4	-10	2	-4	-8	-10	-12	-10	-4	12	-14	4	4	-6	10

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Quadratic twists for elliptic curve 2210g2

-4	8	-3	5	-7	13	17
17680o2	70720f2	19890h2	11050a2	108290z2	28730g2	37570k2

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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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