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	114b	Isogeny class
Conductor	114	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	20	Modular degree for the optimal curve
Δ	18468 = 22 · 35 · 19	Discriminant
Eigenvalues	2+ 3+  0  4  4  0 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-95,-399]	[a1,a2,a3,a4,a6]
j	96386901625/18468	j-invariant
L	0.76357205651559	L(r)(E,1)/r!
Ω	1.5271441130312	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	912h1 3648j1 342b1 2850ba1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 114b1

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	4	0	-2	-	-2	-6	6	-8	10	-12	10	2	4	-10	0	-16	-2	10	-16	-2	-10

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Quadratic twists for elliptic curve 114b1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
912h1	3648j1	342b1	2850ba1	5586r1	13794y1	19266p1	32946k1	2166i1	60306b1	95874q1	109554o1

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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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