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	9310f	Isogeny class
Conductor	9310	Conductor
∏ cp	108	Product of Tamagawa factors cp
Δ	-1.3885959261936E+20	Discriminant
Eigenvalues	2+  1 5- 7+  0 -4  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,1230462,213267156]	[a1,a2,a3,a4,a6]
Generators	[4365:295737:1]	Generators of the group modulo torsion
j	35739174545711399/24087491072000	j-invariant
L	3.9073876569868	L(r)(E,1)/r!
Ω	0.11580150960105	Real period
R	0.31242697497737	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	74480ca2 83790dn2 46550bt2 9310a2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9310f2

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
+	1	-	+	0	-4	0	-	9	9	-10	2	-9	-1	0	-12	0	11	-7	0	2	-10	9	3	-10

---

Quadratic twists for elliptic curve 9310f2

-4	-3	5	-7
74480ca2	83790dn2	46550bt2	9310a2

---

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