Cremona's table of elliptic curves

124002 = 2 · 3² · 83²

Field	Data	Notes
Atkin-Lehner	2+ 3- 83-	Signs for the Atkin-Lehner involutions
Class	124002j	Isogeny class
Conductor	124002	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	1542912	Modular degree for the optimal curve
Δ	237386174057256996 = 22 · 37 · 837	Discriminant
Eigenvalues	2+ 3-  2  4  0  0  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-280296,-52016148]	[a1,a2,a3,a4,a6]
Generators	[-1459636143:-6667366236:4173281]	Generators of the group modulo torsion
j	10218313/996	j-invariant
L	7.9111153929363	L(r)(E,1)/r!
Ω	0.20878929049204	Real period
R	9.4726067536853	Regulator
r	1	Rank of the group of rational points
S	1.0000000025392	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	41334k1 1494e1	Quadratic twists by: -3 -83

Hecke Eigenvalues for elliptic curve 124002j1

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	0	0	2	0	6	0	-4	10	2	-4	0	-14	-12	-6	0	4	-10	-2	-	-6	10

---

Quadratic twists for elliptic curve 124002j1

-3	-83
41334k1	1494e1

---

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