Cremona's table of elliptic curves

3102 = 2 · 3 · 11 · 47

Field	Data	Notes
Atkin-Lehner	2+ 3- 11- 47+	Signs for the Atkin-Lehner involutions
Class	3102g	Isogeny class
Conductor	3102	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	3492932652 = 22 · 33 · 114 · 472	Discriminant
Eigenvalues	2+ 3- -4  0 11- -6 -2  6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-458,2432]	[a1,a2,a3,a4,a6]
Generators	[135:1483:1]	Generators of the group modulo torsion
j	10591472326681/3492932652	j-invariant
L	2.3212743838426	L(r)(E,1)/r!
Ω	1.2973413062215	Real period
R	0.14910458108381	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	24816k2 99264e2 9306j2 77550bl2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3102g2

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

---

Quadratic twists for elliptic curve 3102g2

-4	8	-3	5	-11
24816k2	99264e2	9306j2	77550bl2	34122u2

---

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