Cremona's table of elliptic curves

1264 = 2⁴ · 79

Field	Data	Notes
Atkin-Lehner	2- 79-	Signs for the Atkin-Lehner involutions
Class	1264h	Isogeny class
Conductor	1264	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	128	Modular degree for the optimal curve
Δ	323584 = 212 · 79	Discriminant
Eigenvalues	2-  1 -3  1  2  3 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-32,-76]	[a1,a2,a3,a4,a6]
Generators	[-4:2:1]	Generators of the group modulo torsion
j	912673/79	j-invariant
L	2.6961346107864	L(r)(E,1)/r!
Ω	2.0131555698772	Real period
R	0.6696289772953	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	79a1 5056t1 11376u1 31600n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1264h1

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	-3	1	2	3	-6	-4	-2	-6	10	-2	-10	-4	-7	8	3	-4	-8	-15	2	-	6	-7	-19

---

Quadratic twists for elliptic curve 1264h1

-4	8	-3	5	-7	-79
79a1	5056t1	11376u1	31600n1	61936x1	99856l1

---

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