Atkin-Lehner |
2+ 3- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105264k |
Isogeny class |
Conductor |
105264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5253120 |
Modular degree for the optimal curve |
Δ |
27242410779648 = 210 · 39 · 17 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -4 6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-109481115,440917088794] |
[a1,a2,a3,a4,a6] |
Generators |
[603481362640:-174196503:99897344] |
Generators of the group modulo torsion |
j |
194407879190639141510500/36493713 |
j-invariant |
L |
7.2639883801181 |
L(r)(E,1)/r! |
Ω |
0.26898777071618 |
Real period |
R |
13.502450967782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52632g1 35088e1 |
Quadratic twists by: -4 -3 |