Atkin-Lehner |
2- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40432n |
Isogeny class |
Conductor |
40432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
98496 |
Modular degree for the optimal curve |
Δ |
13315113424144 = 24 · 72 · 198 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 0 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29722,-1954561] |
[a1,a2,a3,a4,a6] |
j |
10686208/49 |
j-invariant |
L |
0.72740897812973 |
L(r)(E,1)/r! |
Ω |
0.36370448906218 |
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 |
10108a1 40432q1 |
Quadratic twists by: -4 -19 |