Cremona's table of elliptic curves

1628 = 2² · 11 · 37

Field	Data	Notes
Atkin-Lehner	2- 11- 37+	Signs for the Atkin-Lehner involutions
Class	1628a	Isogeny class
Conductor	1628	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	3855104 = 28 · 11 · 372	Discriminant
Eigenvalues	2-  0 -2  0 11-  4  4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-71,-210]	[a1,a2,a3,a4,a6]
Generators	[-30:15:8]	Generators of the group modulo torsion
j	154617552/15059	j-invariant
L	2.5767963177544	L(r)(E,1)/r!
Ω	1.6549910040655	Real period
R	3.1139701804114	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	6512b2 26048b2 14652d2 40700b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1628a2

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	-2	0	-	4	4	-4	6	-8	-2	+	-6	-8	-4	-2	-14	-4	4	0	2	-12	4	2	-10

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Quadratic twists for elliptic curve 1628a2

-4	8	-3	5	-7	-11	37
6512b2	26048b2	14652d2	40700b2	79772a2	17908a2	60236f2

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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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