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	1254h	Isogeny class
Conductor	1254	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	256	Modular degree for the optimal curve
Δ	1765632 = 28 · 3 · 112 · 19	Discriminant
Eigenvalues	2- 3+ -2  0 11- -2 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-149,635]	[a1,a2,a3,a4,a6]
Generators	[-11:38:1]	Generators of the group modulo torsion
j	365986170577/1765632	j-invariant
L	2.9949273771176	L(r)(E,1)/r!
Ω	2.6622759180851	Real period
R	1.1249500312018	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	10032o1 40128t1 3762d1 31350t1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1254h1

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	-6	+	0	-2	0	-2	-6	4	-8	6	-12	-2	-4	-16	10	0	-12	10	2

---

Quadratic twists for elliptic curve 1254h1

-4	8	-3	5	-7	-11	-19
10032o1	40128t1	3762d1	31350t1	61446dg1	13794i1	23826u1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations