Cremona's table of elliptic curves

2788 = 2² · 17 · 41

Field	Data	Notes
Atkin-Lehner	2- 17- 41+	Signs for the Atkin-Lehner involutions
Class	2788b	Isogeny class
Conductor	2788	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	18746512 = 24 · 17 · 413	Discriminant
Eigenvalues	2-  1  0 -1  0 -4 17-  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1738,-28475]	[a1,a2,a3,a4,a6]
Generators	[-5250:55:216]	Generators of the group modulo torsion
j	36308048224000/1171657	j-invariant
L	3.6499386184349	L(r)(E,1)/r!
Ω	0.73937903332641	Real period
R	4.9364919126988	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11152s2 44608n2 25092g2 69700a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2788b2

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	0	-1	0	-4	-	8	0	9	-10	2	+	-1	-12	12	-9	-10	-4	-15	-16	5	-15	-12	-10

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Quadratic twists for elliptic curve 2788b2

-4	8	-3	5	17	41
11152s2	44608n2	25092g2	69700a2	47396e2	114308b2

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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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