Atkin-Lehner |
2+ 3- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
101232c |
Isogeny class |
Conductor |
101232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
6886250919936 = 211 · 314 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 -3 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-929811,-345096142] |
[a1,a2,a3,a4,a6] |
j |
59545681581839906/4612383 |
j-invariant |
L |
0.61497948598396 |
L(r)(E,1)/r! |
Ω |
0.15374495962226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50616d1 33744a1 |
Quadratic twists by: -4 -3 |