Cremona's table of elliptic curves

2640 = 2⁴ · 3 · 5 · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 11-	Signs for the Atkin-Lehner involutions
Class	2640p	Isogeny class
Conductor	2640	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	4181760 = 28 · 33 · 5 · 112	Discriminant
Eigenvalues	2- 3+ 5+  4 11- -4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-716,-7140]	[a1,a2,a3,a4,a6]
Generators	[938:9821:8]	Generators of the group modulo torsion
j	158792223184/16335	j-invariant
L	2.8939541934702	L(r)(E,1)/r!
Ω	0.92283369901029	Real period
R	6.2718866824519	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	660c2 10560cj2 7920bh2 13200cm2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2640p2

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

---

Quadratic twists for elliptic curve 2640p2

-4	8	-3	5	-7	-11
660c2	10560cj2	7920bh2	13200cm2	129360if2	29040ci2

---

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