Atkin-Lehner |
2- 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
91630bu |
Isogeny class |
Conductor |
91630 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
944640 |
Modular degree for the optimal curve |
Δ |
921964933120000 = 215 · 54 · 72 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 11+ -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-920515,339854017] |
[a1,a2,a3,a4,a6] |
Generators |
[174:13513:1] |
Generators of the group modulo torsion |
j |
1760436121529323817089/18815610880000 |
j-invariant |
L |
12.763790368426 |
L(r)(E,1)/r! |
Ω |
0.45024210802794 |
Real period |
R |
0.11811969358292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005651 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91630bh1 |
Quadratic twists by: -7 |