Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
85260r |
Isogeny class |
Conductor |
85260 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
45792 |
Modular degree for the optimal curve |
Δ |
4589034240 = 28 · 3 · 5 · 72 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 2 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1276,16820] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:174:1] |
Generators of the group modulo torsion |
j |
18330740176/365835 |
j-invariant |
L |
7.1727440716185 |
L(r)(E,1)/r! |
Ω |
1.3754829254298 |
Real period |
R |
1.7382365456397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85260i1 |
Quadratic twists by: -7 |