Cremona's table of elliptic curves

1088 = 2⁶ · 17

Field	Data	Notes
Atkin-Lehner	2+ 17+	Signs for the Atkin-Lehner involutions
Class	1088c	Isogeny class
Conductor	1088	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	5151653888 = 220 · 173	Discriminant
Eigenvalues	2+  2  0 -4 -6 -2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-6593,-203839]	[a1,a2,a3,a4,a6]
Generators	[8139:135296:27]	Generators of the group modulo torsion
j	120920208625/19652	j-invariant
L	2.9793757807746	L(r)(E,1)/r!
Ω	0.52981900399468	Real period
R	5.6233841336587	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	1088i3 34a3 9792v3 27200z3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1088c3

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

---

Quadratic twists for elliptic curve 1088c3

-4	8	-3	5	-7	17
1088i3	34a3	9792v3	27200z3	53312ba3	18496g3

---

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