Atkin-Lehner |
2+ 3+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6486g |
Isogeny class |
Conductor |
6486 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15333857442 = 2 · 38 · 232 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-70006,-7158614] |
[a1,a2,a3,a4,a6] |
j |
37943657921958184297/15333857442 |
j-invariant |
L |
0.58700923965225 |
L(r)(E,1)/r! |
Ω |
0.29350461982613 |
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 |
51888s2 19458f2 |
Quadratic twists by: -4 -3 |