Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
3906b |
Isogeny class |
Conductor |
3906 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
37708909246405152 = 25 · 312 · 74 · 314 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1128573,461656741] |
[a1,a2,a3,a4,a6] |
j |
218064699967398378193/51726898829088 |
j-invariant |
L |
0.7112321591285 |
L(r)(E,1)/r! |
Ω |
0.35561607956425 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31248cj4 124992bi4 1302j3 97650dp4 |
Quadratic twists by: -4 8 -3 5 |