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	1254g	Isogeny class
Conductor	1254	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-1298611008739638 = -1 · 2 · 324 · 112 · 19	Discriminant
Eigenvalues	2- 3+ -2  0 11+ -2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,13451,-1620895]	[a1,a2,a3,a4,a6]
Generators	[3879570:47126837:27000]	Generators of the group modulo torsion
j	269144439804255023/1298611008739638	j-invariant
L	2.9864549384663	L(r)(E,1)/r!
Ω	0.24338768562182	Real period
R	12.270361710521	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	10032q6 40128x5 3762i6 31350q5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1254g6

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

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Quadratic twists for elliptic curve 1254g6

-4	8	-3	5	-7	-11	-19
10032q6	40128x5	3762i6	31350q5	61446cv5	13794c6	23826s5

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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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