Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408o |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
123966280704 = 210 · 3 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -2 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1829,25509] |
[a1,a2,a3,a4,a6] |
j |
16384/3 |
j-invariant |
L |
0.99412359859274 |
L(r)(E,1)/r! |
Ω |
0.99412359859274 |
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 |
9408cy1 588e1 28224bv1 9408bf1 |
Quadratic twists by: -4 8 -3 -7 |