Cremona's table of elliptic curves

3232 = 2⁵ · 101

Field	Data	Notes
Atkin-Lehner	2+ 101+	Signs for the Atkin-Lehner involutions
Class	3232a	Isogeny class
Conductor	3232	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-41783296 = -1 · 212 · 1012	Discriminant
Eigenvalues	2+  2 -2 -2  2 -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-129,689]	[a1,a2,a3,a4,a6]
Generators	[5:12:1]	Generators of the group modulo torsion
j	-58411072/10201	j-invariant
L	4.0348153013001	L(r)(E,1)/r!
Ω	1.9574365115336	Real period
R	1.0306375909323	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	3232c2 6464i1 29088m2 80800h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3232a2

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	-2	-2	2	-2	6	-4	8	-6	-4	-6	-6	8	-8	10	-6	-14	10	-12	2	-12	-14	18	-14

---

Quadratic twists for elliptic curve 3232a2

-4	8	-3	5
3232c2	6464i1	29088m2	80800h2

---

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