Atkin-Lehner |
2- 3- 11- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31746bp |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
-35451880644877554 = -1 · 2 · 3 · 11 · 139 · 373 |
Discriminant |
Eigenvalues |
2- 3- 3 2 11- 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-58454,10561782] |
[a1,a2,a3,a4,a6] |
j |
-22088533448738012257/35451880644877554 |
j-invariant |
L |
8.8802672112298 |
L(r)(E,1)/r! |
Ω |
0.32889878560111 |
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 |
95238be2 |
Quadratic twists by: -3 |