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	192	Product of Tamagawa factors cp
Δ	18341826624 = 26 · 38 · 112 · 192	Discriminant
Eigenvalues	2- 3- -2 -4 11+ -2 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-694,-2716]	[a1,a2,a3,a4,a6]
Generators	[-16:74:1]	Generators of the group modulo torsion
j	36969300595297/18341826624	j-invariant
L	3.6219324541048	L(r)(E,1)/r!
Ω	0.97890836457911	Real period
R	0.30833090760084	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	10032l2 40128m2 3762h2 31350a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1254i2

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

---

Quadratic twists for elliptic curve 1254i2

-4	8	-3	5	-7	-11	-19
10032l2	40128m2	3762h2	31350a2	61446bz2	13794r2	23826d2

---

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