Cremona's table of elliptic curves

944 = 2⁴ · 59

Field	Data	Notes
Atkin-Lehner	2- 59-	Signs for the Atkin-Lehner involutions
Class	944h	Isogeny class
Conductor	944	Conductor
∏ cp	20	Product of Tamagawa factors cp
Δ	-11713319714816 = -1 · 214 · 595	Discriminant
Eigenvalues	2-  1  1 -3 -2 -6 -2  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,1840,162452]	[a1,a2,a3,a4,a6]
Generators	[146:1888:1]	Generators of the group modulo torsion
j	168105213359/2859697196	j-invariant
L	2.6349557864029	L(r)(E,1)/r!
Ω	0.53256762653586	Real period
R	0.24738227176352	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	118b2 3776m2 8496o2 23600u2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 944h2

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	1	-3	-2	-6	-2	5	-4	-5	-2	8	7	6	2	9	-	-8	2	-12	4	-5	-14	0	8

---

Quadratic twists for elliptic curve 944h2

-4	8	-3	5	-7	-11	-59
118b2	3776m2	8496o2	23600u2	46256bd2	114224r2	55696p2

---

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