Cremona's table of elliptic curves

4680 = 2³ · 3² · 5 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 13-	Signs for the Atkin-Lehner involutions
Class	4680g	Isogeny class
Conductor	4680	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	291133440 = 211 · 37 · 5 · 13	Discriminant
Eigenvalues	2+ 3- 5+  4 -4 13- -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-74883,-7887202]	[a1,a2,a3,a4,a6]
Generators	[626:13804:1]	Generators of the group modulo torsion
j	31103978031362/195	j-invariant
L	3.8467556127521	L(r)(E,1)/r!
Ω	0.28860493038292	Real period
R	6.6643969104206	Regulator
r	1	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	9360o4 37440ck4 1560k4 23400bk4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4680g3

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	-4	-	-6	0	4	6	-8	-2	-10	-4	-8	2	-4	14	-12	8	-10	0	4	-10	-2

---

Quadratic twists for elliptic curve 4680g3

-4	8	-3	5	13
9360o4	37440ck4	1560k4	23400bk4	60840ca4

---

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