Atkin-Lehner |
3- 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
32025bg |
Isogeny class |
Conductor |
32025 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
442800 |
Modular degree for the optimal curve |
Δ |
-13411651173046875 = -1 · 32 · 58 · 75 · 613 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -6 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-131958,-19317256] |
[a1,a2,a3,a4,a6] |
j |
-650540205322240/34333827003 |
j-invariant |
L |
1.2486159079616 |
L(r)(E,1)/r! |
Ω |
0.12486159079633 |
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 |
96075ch1 32025b1 |
Quadratic twists by: -3 5 |