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	40	Product of Tamagawa factors cp
Δ	269485056 = 210 · 36 · 192	Discriminant
Eigenvalues	2- 3+  2  0 -4  2 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-5472,-158079]	[a1,a2,a3,a4,a6]
j	18120364883707393/269485056	j-invariant
L	1.3877237318263	L(r)(E,1)/r!
Ω	0.55508949273051	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	912k2 3648r2 342f2 2850j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 114c2

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 114c2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
912k2	3648r2	342f2	2850j2	5586bb2	13794f2	19266e2	32946v2	2166d2	60306s2	95874f2	109554u2

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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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