Atkin-Lehner |
2- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34720bb |
Isogeny class |
Conductor |
34720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-37975000000 = -1 · 26 · 58 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 2 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,90,-9400] |
[a1,a2,a3,a4,a6] |
j |
1245766976/593359375 |
j-invariant |
L |
4.3186347597963 |
L(r)(E,1)/r! |
Ω |
0.53982934497487 |
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 |
34720ba1 69440cw1 |
Quadratic twists by: -4 8 |