Cremona's table of elliptic curves

2107 = 7² · 43

Field	Data	Notes
Atkin-Lehner	7- 43+	Signs for the Atkin-Lehner involutions
Class	2107a	Isogeny class
Conductor	2107	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	-5058907 = -1 · 76 · 43	Discriminant
Eigenvalues	-2  2  4 7-  3  5  3  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-16,-106]	[a1,a2,a3,a4,a6]
j	-4096/43	j-invariant
L	2.0609380971969	L(r)(E,1)/r!
Ω	1.0304690485985	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	33712r1 18963i1 52675k1 43a1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2107a1

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	4	-	3	5	3	2	-1	-6	1	0	-5	+	-4	-5	12	-2	-3	2	-2	-8	-15	4	-7

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Quadratic twists for elliptic curve 2107a1

-4	-3	5	-7	-43
33712r1	18963i1	52675k1	43a1	90601e1

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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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