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	1254i	Isogeny class
Conductor	1254	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-1236403285128 = -1 · 23 · 34 · 114 · 194	Discriminant
Eigenvalues	2- 3- -2 -4 11+ -2 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,2546,-20212]	[a1,a2,a3,a4,a6]
Generators	[38:344:1]	Generators of the group modulo torsion
j	1825106655603743/1236403285128	j-invariant
L	3.6219324541048	L(r)(E,1)/r!
Ω	0.48945418228956	Real period
R	0.61666181520168	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	10032l4 40128m3 3762h4 31350a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1254i4

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

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Quadratic twists for elliptic curve 1254i4

-4	8	-3	5	-7	-11	-19
10032l4	40128m3	3762h4	31350a3	61446bz3	13794r4	23826d3

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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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