Atkin-Lehner |
3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
32025ba |
Isogeny class |
Conductor |
32025 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
11966764236328125 = 315 · 59 · 7 · 61 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- -5 -1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-419658,-104646031] |
[a1,a2,a3,a4,a6] |
j |
523107854001270784/765872911125 |
j-invariant |
L |
5.6277530562409 |
L(r)(E,1)/r! |
Ω |
0.18759176854173 |
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 |
96075bt1 6405a1 |
Quadratic twists by: -3 5 |