Cremona's table of elliptic curves

1254 = 2 · 3 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3+ 11- 19-	Signs for the Atkin-Lehner involutions
Class	1254c	Isogeny class
Conductor	1254	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	63562752 = 210 · 33 · 112 · 19	Discriminant
Eigenvalues	2+ 3+ -4  0 11-  4 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1282,17140]	[a1,a2,a3,a4,a6]
Generators	[-12:182:1]	Generators of the group modulo torsion
j	233301213501481/63562752	j-invariant
L	1.4099347712638	L(r)(E,1)/r!
Ω	1.9192713219793	Real period
R	0.73461982947242	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	10032n1 40128s1 3762o1 31350cg1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1254c1

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

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Quadratic twists for elliptic curve 1254c1

-4	8	-3	5	-7	-11	-19
10032n1	40128s1	3762o1	31350cg1	61446be1	13794be1	23826bn1

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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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