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	6	Product of Tamagawa factors cp
Δ	82308 = 22 · 3 · 193	Discriminant
Eigenvalues	2- 3-  0 -4  0 -4  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-428,-3444]	[a1,a2,a3,a4,a6]
j	8671983378625/82308	j-invariant
L	1.5744353565575	L(r)(E,1)/r!
Ω	1.0496235710384	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	912e3 3648b3 342c3 2850e3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 114a3

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 114a3

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
912e3	3648b3	342c3	2850e3	5586u3	13794m3	19266g3	32946r3	2166b3	60306v3	95874a3	109554q3

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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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