Cremona's table of elliptic curves

40656 = 2⁴ · 3 · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 11-	Signs for the Atkin-Lehner involutions
Class	40656dc	Isogeny class
Conductor	40656	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	92160	Modular degree for the optimal curve
Δ	-229183749881856 = -1 · 232 · 32 · 72 · 112	Discriminant
Eigenvalues	2- 3-  1 7- 11-  1 -3  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,10080,-612108]	[a1,a2,a3,a4,a6]
Generators	[252:4242:1]	Generators of the group modulo torsion
j	228516153239/462422016	j-invariant
L	8.238533419934	L(r)(E,1)/r!
Ω	0.29096931637064	Real period
R	3.5392621130543	Regulator
r	1	Rank of the group of rational points
S	0.99999999999986	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5082q1 121968fr1 40656cg1	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 40656dc1

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	2	4	1	-2	-11	-3	-6	2	-5	-6	-10	8	6	6	-6	0	3	1

---

Quadratic twists for elliptic curve 40656dc1

-4	-3	-11
5082q1	121968fr1	40656cg1

---

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