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	3042n	Isogeny class
Conductor	3042	Conductor
∏ cp	80	Product of Tamagawa factors cp
Δ	14760465408 = 210 · 38 · 133	Discriminant
Eigenvalues	2- 3-  2 -2  0 13- -2  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-638969,-196432999]	[a1,a2,a3,a4,a6]
j	18013780041269221/9216	j-invariant
L	3.3772223624095	L(r)(E,1)/r!
Ω	0.16886111812048	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	24336cc4 97344dg4 1014c4 76050cb4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3042n4

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

---

Quadratic twists for elliptic curve 3042n4

-4	8	-3	5	13
24336cc4	97344dg4	1014c4	76050cb4	3042g4

---

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