Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608bh |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
197308386222538752 = 228 · 37 · 72 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 2 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-203916,28274416] |
[a1,a2,a3,a4,a6] |
j |
4906933498657/1032471552 |
j-invariant |
L |
2.4046952594193 |
L(r)(E,1)/r! |
Ω |
0.30058690620961 |
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 |
76608ft1 2394e1 25536ba1 |
Quadratic twists by: -4 8 -3 |