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	36	Product of Tamagawa factors cp
Δ	-2105352 = -1 · 23 · 36 · 192	Discriminant
Eigenvalues	2- 3-  0 -4  0 -4  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,32,8]	[a1,a2,a3,a4,a6]
j	3616805375/2105352	j-invariant
L	1.5744353565575	L(r)(E,1)/r!
Ω	1.5744353565575	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	912e2 3648b2 342c2 2850e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 114a2

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 114a2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
912e2	3648b2	342c2	2850e2	5586u2	13794m2	19266g2	32946r2	2166b2	60306v2	95874a2	109554q2

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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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