Cremona's table of elliptic curves

1958 = 2 · 11 · 89

Field	Data	Notes
Atkin-Lehner	2- 11+ 89-	Signs for the Atkin-Lehner involutions
Class	1958a	Isogeny class
Conductor	1958	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-38155880818 = -1 · 2 · 118 · 89	Discriminant
Eigenvalues	2-  0 -2  0 11+  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,644,6817]	[a1,a2,a3,a4,a6]
Generators	[45528:1279409:13824]	Generators of the group modulo torsion
j	29581036207983/38155880818	j-invariant
L	3.8233338140411	L(r)(E,1)/r!
Ω	0.77504416236933	Real period
R	9.8661056999722	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	15664f4 62656f3 17622e4 48950d3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1958a4

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
-	0	-2	0	+	2	2	0	0	-6	-8	2	-6	-8	0	6	-8	-14	-4	-8	-6	8	16	-	2

---

Quadratic twists for elliptic curve 1958a4

-4	8	-3	5	-7	-11
15664f4	62656f3	17622e4	48950d3	95942w3	21538b3

---

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