Cremona's table of elliptic curves

3255 = 3 · 5 · 7 · 31

Field	Data	Notes
Atkin-Lehner	3+ 5- 7+ 31-	Signs for the Atkin-Lehner involutions
Class	3255b	Isogeny class
Conductor	3255	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	109484485464375 = 312 · 54 · 73 · 312	Discriminant
Eigenvalues	1 3+ 5- 7+  2  0 -4  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1142862,-470737071]	[a1,a2,a3,a4,a6]
Generators	[88374:9199533:8]	Generators of the group modulo torsion
j	165084266363666392852201/109484485464375	j-invariant
L	3.6490468645479	L(r)(E,1)/r!
Ω	0.14601621087573	Real period
R	6.2476742182647	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	52080cc2 9765f2 16275v2 22785l2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3255b2

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	+	-	+	2	0	-4	4	-2	6	-	-10	6	-6	-8	-6	4	-8	8	-12	-16	-6	-8	4	6

---

Quadratic twists for elliptic curve 3255b2

-4	-3	5	-7	-31
52080cc2	9765f2	16275v2	22785l2	100905q2

---

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