Atkin-Lehner |
3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
22365j |
Isogeny class |
Conductor |
22365 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-798900165 = -1 · 38 · 5 · 73 · 71 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 5 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54,-1355] |
[a1,a2,a3,a4,a6] |
j |
-24137569/1095885 |
j-invariant |
L |
4.1795386826314 |
L(r)(E,1)/r! |
Ω |
0.69658978043857 |
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 |
7455b1 111825i1 |
Quadratic twists by: -3 5 |