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	6	Product of Tamagawa factors cp
Δ	170069856000 = 28 · 3 · 53 · 116	Discriminant
Eigenvalues	2- 3+ 5+  4 11- -4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1556,13356]	[a1,a2,a3,a4,a6]
Generators	[-35:154:1]	Generators of the group modulo torsion
j	1628514404944/664335375	j-invariant
L	2.8939541934702	L(r)(E,1)/r!
Ω	0.92283369901029	Real period
R	2.0906288941506	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	660c4 10560cj4 7920bh4 13200cm4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2640p4

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 2640p4

-4	8	-3	5	-7	-11
660c4	10560cj4	7920bh4	13200cm4	129360if4	29040ci4

---

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