Cremona's table of elliptic curves

1456 = 2⁴ · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 7+ 13+	Signs for the Atkin-Lehner involutions
Class	1456a	Isogeny class
Conductor	1456	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	-186368 = -1 · 211 · 7 · 13	Discriminant
Eigenvalues	2+  1  0 7+ -3 13+  4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-8,20]	[a1,a2,a3,a4,a6]
Generators	[2:4:1]	Generators of the group modulo torsion
j	-31250/91	j-invariant
L	3.0142014716734	L(r)(E,1)/r!
Ω	2.8122320211455	Real period
R	0.26795455078113	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	728a1 5824u1 13104l1 36400o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1456a1

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	0	+	-3	+	4	-2	-1	4	-9	3	-5	-4	-9	-4	-10	5	-11	16	11	5	4	-2	-7

---

Quadratic twists for elliptic curve 1456a1

-4	8	-3	5	-7	13
728a1	5824u1	13104l1	36400o1	10192g1	18928d1

---

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