Cremona's table of elliptic curves

3128 = 2³ · 17 · 23

Field	Data	Notes
Atkin-Lehner	2- 17+ 23-	Signs for the Atkin-Lehner involutions
Class	3128a	Isogeny class
Conductor	3128	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	165630052352 = 211 · 172 · 234	Discriminant
Eigenvalues	2- -2 -4 -4  2  2 17+  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3040,-62496]	[a1,a2,a3,a4,a6]
Generators	[-29:46:1]	Generators of the group modulo torsion
j	1517600157122/80874049	j-invariant
L	1.4476887774285	L(r)(E,1)/r!
Ω	0.64507061411864	Real period
R	1.1221165138691	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	6256a2 25024f2 28152j2 78200h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3128a2

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	-4	-4	2	2	+	0	-	0	4	-8	-2	4	8	-2	8	0	-4	8	10	-16	-12	10	-2

---

Quadratic twists for elliptic curve 3128a2

-4	8	-3	5	17	-23
6256a2	25024f2	28152j2	78200h2	53176f2	71944g2

---

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