Cremona's table of elliptic curves

924 = 2² · 3 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 11-	Signs for the Atkin-Lehner involutions
Class	924h	Isogeny class
Conductor	924	Conductor
∏ cp	405	Product of Tamagawa factors cp
deg	3240	Modular degree for the optimal curve
Δ	-7044976206576 = -1 · 24 · 39 · 75 · 113	Discriminant
Eigenvalues	2- 3- -3 7- 11- -7 -6 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-17242,875009]	[a1,a2,a3,a4,a6]
Generators	[-142:693:1]	Generators of the group modulo torsion
j	-35431687725461248/440311012911	j-invariant
L	2.4534577551621	L(r)(E,1)/r!
Ω	0.74905311137623	Real period
R	0.072786939430602	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	3696m1 14784q1 2772k1 23100e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 924h1

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
-	-	-3	-	-	-7	-6	-1	0	-3	2	5	-12	8	-3	-12	-3	-10	-13	-12	11	8	6	6	8

---

Quadratic twists for elliptic curve 924h1

-4	8	-3	5	-7	-11
3696m1	14784q1	2772k1	23100e1	6468j1	10164t1

---

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