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	16	Product of Tamagawa factors cp
Δ	11235515171364 = 22 · 312 · 114 · 192	Discriminant
Eigenvalues	2- 3+ -2  0 11+ -2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-9539,-324259]	[a1,a2,a3,a4,a6]
Generators	[-1707:5600:27]	Generators of the group modulo torsion
j	95992014075197617/11235515171364	j-invariant
L	2.9864549384663	L(r)(E,1)/r!
Ω	0.48677537124363	Real period
R	6.1351808552607	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	10032q3 40128x4 3762i3 31350q4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1254g3

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 1254g3

-4	8	-3	5	-7	-11	-19
10032q3	40128x4	3762i3	31350q4	61446cv4	13794c3	23826s4

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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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