Cremona's table of elliptic curves

11424 = 2⁵ · 3 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7+ 17+	Signs for the Atkin-Lehner involutions
Class	11424b	Isogeny class
Conductor	11424	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2560	Modular degree for the optimal curve
Δ	-49968576 = -1 · 26 · 38 · 7 · 17	Discriminant
Eigenvalues	2+ 3+ -2 7+  2  0 17+ -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-14,-336]	[a1,a2,a3,a4,a6]
Generators	[40:248:1]	Generators of the group modulo torsion
j	-5088448/780759	j-invariant
L	3.0703279089805	L(r)(E,1)/r!
Ω	0.89150209196921	Real period
R	3.4439940597319	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	11424j1 22848cj1 34272bg1 79968bc1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11424b1

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

---

Quadratic twists for elliptic curve 11424b1

-4	8	-3	-7
11424j1	22848cj1	34272bg1	79968bc1

---

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