Atkin-Lehner |
2- 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31878bl |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
4819943787924057408 = 26 · 314 · 76 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-411142055,3208853410463] |
[a1,a2,a3,a4,a6] |
Generators |
[-20187:1821658:1] |
Generators of the group modulo torsion |
j |
10543186518294206197228515625/6611719873695552 |
j-invariant |
L |
8.7962682766609 |
L(r)(E,1)/r! |
Ω |
0.14993113179252 |
Real period |
R |
4.8890603814207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
10626g4 |
Quadratic twists by: -3 |