Cremona's table of elliptic curves

1617 = 3 · 7² · 11

Field	Data	Notes
Atkin-Lehner	3- 7- 11-	Signs for the Atkin-Lehner involutions
Class	1617j	Isogeny class
Conductor	1617	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-687758524299 = -1 · 312 · 76 · 11	Discriminant
Eigenvalues	1 3-  2 7- 11-  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,2130,-12449]	[a1,a2,a3,a4,a6]
j	9090072503/5845851	j-invariant
L	3.1121217016744	L(r)(E,1)/r!
Ω	0.51868695027907	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	25872bk3 103488bb3 4851j4 40425y3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1617j4

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
1	-	2	-	-	2	2	0	8	-6	8	6	2	0	-8	6	4	-6	-4	0	14	-4	-12	6	-2

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Quadratic twists for elliptic curve 1617j4

-4	8	-3	5	-7	-11
25872bk3	103488bb3	4851j4	40425y3	33a4	17787u4

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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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