Cremona's table of elliptic curves

3042 = 2 · 3² · 13²

Field	Data	Notes
Atkin-Lehner	2- 3- 13+	Signs for the Atkin-Lehner involutions
Class	3042m	Isogeny class
Conductor	3042	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	-8.979181539709E+19	Discriminant
Eigenvalues	2- 3- -3  2 -6 13+  3  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,795451,364884797]	[a1,a2,a3,a4,a6]
Generators	[-129:16192:1]	Generators of the group modulo torsion
j	93603087383/150994944	j-invariant
L	4.284459823501	L(r)(E,1)/r!
Ω	0.13024616303723	Real period
R	2.0559433976744	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	24336bz2 97344cm2 1014b2 76050bo2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3042m2

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	2	-6	+	3	2	6	-3	-4	-7	3	-10	-6	-3	0	-7	-10	-6	-13	-4	6	-18	14

---

Quadratic twists for elliptic curve 3042m2

-4	8	-3	5	13
24336bz2	97344cm2	1014b2	76050bo2	3042e2

---

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