Atkin-Lehner |
5+ 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
31775f |
Isogeny class |
Conductor |
31775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20477952 |
Modular degree for the optimal curve |
Δ |
2.4673745408654E+27 |
Discriminant |
Eigenvalues |
-1 -2 5+ 2 -4 0 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-441397438,2651181951867] |
[a1,a2,a3,a4,a6] |
j |
608685716070311043235420441/157911970615386962890625 |
j-invariant |
L |
0.34283336747076 |
L(r)(E,1)/r! |
Ω |
0.042854170933059 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6355g1 |
Quadratic twists by: 5 |