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	2210b	Isogeny class
Conductor	2210	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	265151195465000 = 23 · 54 · 133 · 176	Discriminant
Eigenvalues	2+ -2 5-  2  0 13- 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-96298,-11483244]	[a1,a2,a3,a4,a6]
Generators	[-180:252:1]	Generators of the group modulo torsion
j	98757259854107414041/265151195465000	j-invariant
L	1.8666977131596	L(r)(E,1)/r!
Ω	0.27106026522886	Real period
R	1.1477753305669	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	17680l4 70720b4 19890z4 11050l4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2210b4

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	0	-10	-10	0	8	0	6	-12	8	-4	6	8	-4	12	6	8

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Quadratic twists for elliptic curve 2210b4

-4	8	-3	5	-7	13	17
17680l4	70720b4	19890z4	11050l4	108290h4	28730u4	37570a4

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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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