Atkin-Lehner |
2+ 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90816bh |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
149504 |
Modular degree for the optimal curve |
Δ |
249925632 = 212 · 3 · 11 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81353,-8958345] |
[a1,a2,a3,a4,a6] |
Generators |
[22148992437:100967927016:65450827] |
Generators of the group modulo torsion |
j |
14537503115416000/61017 |
j-invariant |
L |
9.7128776341487 |
L(r)(E,1)/r! |
Ω |
0.28268692175873 |
Real period |
R |
17.179566648825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008173 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90816h1 45408b1 |
Quadratic twists by: -4 8 |