Cremona's table of elliptic curves

9310 = 2 · 5 · 7² · 19

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 19+	Signs for the Atkin-Lehner involutions
Class	9310r	Isogeny class
Conductor	9310	Conductor
∏ cp	28	Product of Tamagawa factors cp
deg	80640	Modular degree for the optimal curve
Δ	-63948496601019520 = -1 · 27 · 5 · 79 · 195	Discriminant
Eigenvalues	2-  0 5- 7- -1  1  3 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-174082,-30445439]	[a1,a2,a3,a4,a6]
j	-4959007166945889/543553252480	j-invariant
L	3.2520926417992	L(r)(E,1)/r!
Ω	0.11614616577854	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	74480cp1 83790y1 46550f1 1330g1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9310r1

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
-	0	-	-	-1	1	3	+	-5	-9	2	10	3	-6	12	8	3	9	3	9	-2	7	7	10	8

---

Quadratic twists for elliptic curve 9310r1

-4	-3	5	-7
74480cp1	83790y1	46550f1	1330g1

---

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