Cremona's table of elliptic curves

1140 = 2² · 3 · 5 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 19+	Signs for the Atkin-Lehner involutions
Class	1140b	Isogeny class
Conductor	1140	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	259920 = 24 · 32 · 5 · 192	Discriminant
Eigenvalues	2- 3- 5+ -2  0 -4 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-21,-36]	[a1,a2,a3,a4,a6]
Generators	[-3:3:1]	Generators of the group modulo torsion
j	67108864/16245	j-invariant
L	2.7107448500811	L(r)(E,1)/r!
Ω	2.2605790395478	Real period
R	0.39971246343788	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	4560p1 18240w1 3420b1 5700b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1140b1

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

---

Quadratic twists for elliptic curve 1140b1

-4	8	-3	5	-7	-19
4560p1	18240w1	3420b1	5700b1	55860p1	21660h1

---

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