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	114c	Isogeny class
Conductor	114	Conductor
∏ cp	5	Product of Tamagawa factors cp
Δ	16416 = 25 · 33 · 19	Discriminant
Eigenvalues	2- 3+  2  0 -4  2 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-87552,-10007679]	[a1,a2,a3,a4,a6]
j	74220219816682217473/16416	j-invariant
L	1.3877237318263	L(r)(E,1)/r!
Ω	0.27754474636525	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	912k3 3648r3 342f3 2850j3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 114c3

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

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Quadratic twists for elliptic curve 114c3

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
912k3	3648r3	342f3	2850j3	5586bb3	13794f3	19266e3	32946v4	2166d3	60306s4	95874f4	109554u4

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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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