Cremona's table of elliptic curves

114 = 2 · 3 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 19-	Signs for the Atkin-Lehner involutions
Class	114a	Isogeny class
Conductor	114	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	12	Modular degree for the optimal curve
Δ	32832 = 26 · 33 · 19	Discriminant
Eigenvalues	2- 3-  0 -4  0 -4  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-8,0]	[a1,a2,a3,a4,a6]
j	57066625/32832	j-invariant
L	1.5744353565575	L(r)(E,1)/r!
Ω	3.1488707131151	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	912e1 3648b1 342c1 2850e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 114a1

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

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Quadratic twists for elliptic curve 114a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
912e1	3648b1	342c1	2850e1	5586u1	13794m1	19266g1	32946r1	2166b1	60306v1	95874a1	109554q1

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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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