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	20	Product of Tamagawa factors cp
Δ	-2216253521952 = -1 · 25 · 312 · 194	Discriminant
Eigenvalues	2- 3+  2  0 -4  2 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-5312,-167551]	[a1,a2,a3,a4,a6]
j	-16576888679672833/2216253521952	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	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	912k4 3648r4 342f4 2850j4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 114c4

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 114c4

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
912k4	3648r4	342f4	2850j4	5586bb4	13794f4	19266e4	32946v3	2166d4	60306s3	95874f3	109554u3

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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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