Cremona's table of elliptic curves

11592 = 2³ · 3² · 7 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 23+	Signs for the Atkin-Lehner involutions
Class	11592c	Isogeny class
Conductor	11592	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	9408	Modular degree for the optimal curve
Δ	-6953878512 = -1 · 24 · 36 · 72 · 233	Discriminant
Eigenvalues	2+ 3-  4 7+ -2  5  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,477,135]	[a1,a2,a3,a4,a6]
j	1029037824/596183	j-invariant
L	3.1876986954985	L(r)(E,1)/r!
Ω	0.79692467387461	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	23184s1 92736bk1 1288h1 81144s1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11592c1

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
+	-	4	+	-2	5	0	-4	+	3	5	4	-5	-4	11	0	12	-6	-16	-7	7	16	-8	12	6

---

Quadratic twists for elliptic curve 11592c1

-4	8	-3	-7
23184s1	92736bk1	1288h1	81144s1

---

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