Cremona's table of elliptic curves

2108 = 2² · 17 · 31

Field	Data	Notes
Atkin-Lehner	2- 17+ 31-	Signs for the Atkin-Lehner involutions
Class	2108a	Isogeny class
Conductor	2108	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	252	Modular degree for the optimal curve
Δ	-8432 = -1 · 24 · 17 · 31	Discriminant
Eigenvalues	2-  1  0  2 -3 -4 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-218,1169]	[a1,a2,a3,a4,a6]
Generators	[-7:49:1]	Generators of the group modulo torsion
j	-71938912000/527	j-invariant
L	3.5082422238701	L(r)(E,1)/r!
Ω	3.702721414118	Real period
R	2.8424300654867	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	8432h1 33728d1 18972f1 52700e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2108a1

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	2	-3	-4	+	-4	9	-6	-	5	-12	-10	3	-6	-3	11	-7	0	14	8	6	0	-4

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Quadratic twists for elliptic curve 2108a1

-4	8	-3	5	-7	17	-31
8432h1	33728d1	18972f1	52700e1	103292b1	35836b1	65348c1

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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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