Cremona's table of elliptic curves

1554 = 2 · 3 · 7 · 37

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 37+	Signs for the Atkin-Lehner involutions
Class	1554f	Isogeny class
Conductor	1554	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	-257532162048 = -1 · 212 · 38 · 7 · 372	Discriminant
Eigenvalues	2+ 3- -4 7- -4  4  4  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,167,-24388]	[a1,a2,a3,a4,a6]
Generators	[64:467:1]	Generators of the group modulo torsion
j	519524563319/257532162048	j-invariant
L	2.0757170046458	L(r)(E,1)/r!
Ω	0.46011042260236	Real period
R	0.56391816580291	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	12432bc1 49728bf1 4662o1 38850bz1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1554f1

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	-	-4	4	4	2	-4	2	-10	+	2	-12	-12	2	6	-8	-4	-8	-14	-12	-4	-4	-16

---

Quadratic twists for elliptic curve 1554f1

-4	8	-3	5	-7	37
12432bc1	49728bf1	4662o1	38850bz1	10878f1	57498v1

---

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