Atkin-Lehner |
2- 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31878bq |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-64990265106235392 = -1 · 218 · 37 · 7 · 113 · 233 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51980,-13073137] |
[a1,a2,a3,a4,a6] |
j |
-21305767155765625/89149883547648 |
j-invariant |
L |
5.1824464055652 |
L(r)(E,1)/r! |
Ω |
0.14395684459905 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
10626e2 |
Quadratic twists by: -3 |