Atkin-Lehner |
3- 5- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
86925m |
Isogeny class |
Conductor |
86925 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
180576 |
Modular degree for the optimal curve |
Δ |
14257873125 = 39 · 54 · 19 · 61 |
Discriminant |
Eigenvalues |
0 3- 5- 0 5 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-45633,-3767281] |
[a1,a2,a3,a4,a6] |
j |
16814744594022400/22812597 |
j-invariant |
L |
2.939825433429 |
L(r)(E,1)/r! |
Ω |
0.32664727662831 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86925c1 |
Quadratic twists by: 5 |