Atkin-Lehner |
3- 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
108225bg |
Isogeny class |
Conductor |
108225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
190464 |
Modular degree for the optimal curve |
Δ |
2466684221625 = 38 · 53 · 133 · 372 |
Discriminant |
Eigenvalues |
1 3- 5- 0 2 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17982,929551] |
[a1,a2,a3,a4,a6] |
j |
7056896306741/27069237 |
j-invariant |
L |
1.6366094403694 |
L(r)(E,1)/r! |
Ω |
0.81830461825662 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36075i1 108225bi1 |
Quadratic twists by: -3 5 |