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	5938169721462 = 2 · 36 · 118 · 19	Discriminant
Eigenvalues	2- 3+ -2  0 11+ -2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-148049,-21987223]	[a1,a2,a3,a4,a6]
Generators	[-131714268:74688167:592704]	Generators of the group modulo torsion
j	358872624127382648977/5938169721462	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	10032q5 40128x6 3762i5 31350q6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1254g5

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 1254g5

-4	8	-3	5	-7	-11	-19
10032q5	40128x6	3762i5	31350q6	61446cv6	13794c5	23826s6

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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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