Atkin-Lehner |
2+ 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
106032h |
Isogeny class |
Conductor |
106032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
717624576 = 28 · 33 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 3 5 5 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36409,-2661899] |
[a1,a2,a3,a4,a6] |
j |
200829891584/27 |
j-invariant |
L |
6.2211238046969 |
L(r)(E,1)/r! |
Ω |
0.34561801888132 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53016f1 106032i1 |
Quadratic twists by: -4 -47 |