Cremona's table of elliptic curves

2576 = 2⁴ · 7 · 23

Field	Data	Notes
Atkin-Lehner	2+ 7- 23-	Signs for the Atkin-Lehner involutions
Class	2576h	Isogeny class
Conductor	2576	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	256	Modular degree for the optimal curve
Δ	-3791872 = -1 · 210 · 7 · 232	Discriminant
Eigenvalues	2+  0  2 7-  0 -4 -4  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-59,-198]	[a1,a2,a3,a4,a6]
Generators	[11:22:1]	Generators of the group modulo torsion
j	-22180932/3703	j-invariant
L	3.5020694333105	L(r)(E,1)/r!
Ω	0.85350183922744	Real period
R	2.0515886857845	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	1288a1 10304bj1 23184l1 64400a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2576h1

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

---

Quadratic twists for elliptic curve 2576h1

-4	8	-3	5	-7	-23
1288a1	10304bj1	23184l1	64400a1	18032j1	59248b1

---

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