Atkin-Lehner |
5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
6475a |
Isogeny class |
Conductor |
6475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
68015828125 = 56 · 76 · 37 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 4 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4755,-124378] |
[a1,a2,a3,a4,a6] |
j |
760798453689/4353013 |
j-invariant |
L |
0.57513354069274 |
L(r)(E,1)/r! |
Ω |
0.57513354069274 |
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 |
103600bq2 58275j2 259a2 45325h2 |
Quadratic twists by: -4 -3 5 -7 |