Cremona's table of elliptic curves

2960 = 2⁴ · 5 · 37

Field	Data	Notes
Atkin-Lehner	2+ 5- 37-	Signs for the Atkin-Lehner involutions
Class	2960b	Isogeny class
Conductor	2960	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	92500000000 = 28 · 510 · 37	Discriminant
Eigenvalues	2+ -1 5-  1  3  0 -8  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1665,22237]	[a1,a2,a3,a4,a6]
Generators	[4:125:1]	Generators of the group modulo torsion
j	1995203838976/361328125	j-invariant
L	3.0609239728764	L(r)(E,1)/r!
Ω	1.0191463586136	Real period
R	0.30034194274514	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	1480b1 11840w1 26640i1 14800a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2960b1

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	-	1	3	0	-8	0	4	-8	-6	-	3	-2	-3	-1	4	-6	-4	1	9	-10	-5	6	-10

---

Quadratic twists for elliptic curve 2960b1

-4	8	-3	5	37
1480b1	11840w1	26640i1	14800a1	109520b1

---

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