Atkin-Lehner |
2- 11- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97526x |
Isogeny class |
Conductor |
97526 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-708227570336 = -1 · 25 · 116 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 1 1 3 11- 13- 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-305,-40567] |
[a1,a2,a3,a4,a6] |
j |
-1771561/399776 |
j-invariant |
L |
8.0691024627752 |
L(r)(E,1)/r! |
Ω |
0.40345513452076 |
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 |
806a1 |
Quadratic twists by: -11 |