Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10416bf |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-111469601488896 = -1 · 225 · 37 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 3 -3 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20032,-1197056] |
[a1,a2,a3,a4,a6] |
j |
-217049294532673/27214258176 |
j-invariant |
L |
0.79700610000178 |
L(r)(E,1)/r! |
Ω |
0.19925152500044 |
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 |
1302m1 41664el1 31248cl1 72912cn1 |
Quadratic twists by: -4 8 -3 -7 |