Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
108900bg |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-491213868750000 = -1 · 24 · 310 · 58 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13200,-892375] |
[a1,a2,a3,a4,a6] |
Generators |
[110:-1375:1] |
Generators of the group modulo torsion |
j |
1048576/2025 |
j-invariant |
L |
7.8515884889754 |
L(r)(E,1)/r! |
Ω |
0.27367905741542 |
Real period |
R |
1.1953765233318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000648 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36300c1 21780q1 108900bh1 |
Quadratic twists by: -3 5 -11 |