Cremona's table of elliptic curves

2442 = 2 · 3 · 11 · 37

Field	Data	Notes
Atkin-Lehner	2- 3+ 11- 37+	Signs for the Atkin-Lehner involutions
Class	2442g	Isogeny class
Conductor	2442	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	672	Modular degree for the optimal curve
Δ	-4219776 = -1 · 27 · 34 · 11 · 37	Discriminant
Eigenvalues	2- 3+ -3  0 11- -4  5  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,38,-25]	[a1,a2,a3,a4,a6]
Generators	[5:15:1]	Generators of the group modulo torsion
j	6058428767/4219776	j-invariant
L	3.4410953600389	L(r)(E,1)/r!
Ω	1.3914008101282	Real period
R	0.17665113023358	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	19536ba1 78144bh1 7326b1 61050bb1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2442g1

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
-	+	-3	0	-	-4	5	8	-6	-4	-2	+	-2	-2	-11	4	-12	2	-8	-5	4	-17	7	-16	10

---

Quadratic twists for elliptic curve 2442g1

-4	8	-3	5	-7	-11	37
19536ba1	78144bh1	7326b1	61050bb1	119658da1	26862c1	90354e1

---

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