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	1456f	Isogeny class
Conductor	1456	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	3360	Modular degree for the optimal curve
Δ	-1362651250688 = -1 · 219 · 7 · 135	Discriminant
Eigenvalues	2- -3  0 7+  5 13+ -4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-355,-56222]	[a1,a2,a3,a4,a6]
j	-1207949625/332678528	j-invariant
L	0.76542295959708	L(r)(E,1)/r!
Ω	0.38271147979854	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	182e1 5824x1 13104bp1 36400cg1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1456f1

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
-	-3	0	+	5	+	-4	-2	-5	4	-1	7	-9	12	7	-4	6	13	-11	0	7	17	-4	14	5

---

Quadratic twists for elliptic curve 1456f1

-4	8	-3	5	-7	13
182e1	5824x1	13104bp1	36400cg1	10192bl1	18928bd1

---

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