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	2640m	Isogeny class
Conductor	2640	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	2534400 = 210 · 32 · 52 · 11	Discriminant
Eigenvalues	2+ 3- 5-  0 11- -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-52800,-4687452]	[a1,a2,a3,a4,a6]
j	15897679904620804/2475	j-invariant
L	2.5195928984278	L(r)(E,1)/r!
Ω	0.31494911230347	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1320h4 10560bh3 7920d4 13200h3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2640m3

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

---

Quadratic twists for elliptic curve 2640m3

-4	8	-3	5	-7	-11
1320h4	10560bh3	7920d4	13200h3	129360y4	29040bg4

---

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