Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680ck |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
3194000737971195600 = 24 · 39 · 52 · 75 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1435062,656078659] |
[a1,a2,a3,a4,a6] |
Generators |
[-277:32130:1] |
Generators of the group modulo torsion |
j |
28021294529409501184/273834082473525 |
j-invariant |
L |
8.0350017244541 |
L(r)(E,1)/r! |
Ω |
0.25324227455088 |
Real period |
R |
0.52880861084836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840cb1 28560bk1 |
Quadratic twists by: -4 -3 |