Cremona's table of elliptic curves

910 = 2 · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7- 13+	Signs for the Atkin-Lehner involutions
Class	910a	Isogeny class
Conductor	910	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	83492864000 = 220 · 53 · 72 · 13	Discriminant
Eigenvalues	2+  0 5+ 7-  4 13+  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-2000,32000]	[a1,a2,a3,a4,a6]
j	884984855328729/83492864000	j-invariant
L	1.0509058341893	L(r)(E,1)/r!
Ω	1.0509058341893	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7280k1 29120be1 8190bt1 4550s1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 910a1

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

---

Quadratic twists for elliptic curve 910a1

-4	8	-3	5	-7	-11	13
7280k1	29120be1	8190bt1	4550s1	6370j1	110110bu1	11830t1

---

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