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	2640v	Isogeny class
Conductor	2640	Conductor
∏ cp	384	Product of Tamagawa factors cp
Δ	2633906626560000 = 216 · 312 · 54 · 112	Discriminant
Eigenvalues	2- 3- 5-  0 11+  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-171280,27115028]	[a1,a2,a3,a4,a6]
j	135670761487282321/643043610000	j-invariant
L	2.7473653131347	L(r)(E,1)/r!
Ω	0.45789421885578	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	330c3 10560bo4 7920bc3 13200bi4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2640v4

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	+	6	2	4	0	-10	0	6	2	-4	8	-10	4	-2	4	8	2	8	12	-6	18

---

Quadratic twists for elliptic curve 2640v4

-4	8	-3	5	-7	-11
330c3	10560bo4	7920bc3	13200bi4	129360eb3	29040dh3

---

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