Cremona's table of elliptic curves

10108 = 2² · 7 · 19²

Field	Data	Notes
Atkin-Lehner	2- 7- 19-	Signs for the Atkin-Lehner involutions
Class	10108c	Isogeny class
Conductor	10108	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1296	Modular degree for the optimal curve
Δ	283024 = 24 · 72 · 192	Discriminant
Eigenvalues	2- -1 -3 7-  0 -5 -3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-82,-259]	[a1,a2,a3,a4,a6]
Generators	[-5:1:1] [11:7:1]	Generators of the group modulo torsion
j	10686208/49	j-invariant
L	4.5643421723637	L(r)(E,1)/r!
Ω	1.5853511131342	Real period
R	1.4395366851384	Regulator
r	2	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	40432q1 90972m1 70756e1 10108a1	Quadratic twists by: -4 -3 -7 -19

Hecke Eigenvalues for elliptic curve 10108c1

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	-3	-	0	-5	-3	-	-3	-3	-8	-2	3	-1	-9	-3	-9	-7	-5	-3	-7	1	-12	-9	-17

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Quadratic twists for elliptic curve 10108c1

-4	-3	-7	-19
40432q1	90972m1	70756e1	10108a1

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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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