Atkin-Lehner |
2+ 3+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
32376a |
Isogeny class |
Conductor |
32376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-2820343161939065856 = -1 · 210 · 310 · 194 · 713 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-114624,-82130436] |
[a1,a2,a3,a4,a6] |
j |
-162650058508318468/2754241369081119 |
j-invariant |
L |
0.43781480332902 |
L(r)(E,1)/r! |
Ω |
0.10945370083228 |
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 |
64752d1 97128j1 |
Quadratic twists by: -4 -3 |