Atkin-Lehner |
5+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
108445d |
Isogeny class |
Conductor |
108445 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
325440 |
Modular degree for the optimal curve |
Δ |
60271629878125 = 55 · 234 · 413 |
Discriminant |
Eigenvalues |
0 1 5+ -1 6 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-71591,7339576] |
[a1,a2,a3,a4,a6] |
Generators |
[991100:27314772:15625] |
Generators of the group modulo torsion |
j |
145008587014144/215378125 |
j-invariant |
L |
5.6732852306868 |
L(r)(E,1)/r! |
Ω |
0.62338602896315 |
Real period |
R |
9.1007577641553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999780276 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
108445h1 |
Quadratic twists by: -23 |