Atkin-Lehner |
2+ 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96330f |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
312000 |
Modular degree for the optimal curve |
Δ |
-141349819334880 = -1 · 25 · 3 · 5 · 138 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 1 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1693,-573347] |
[a1,a2,a3,a4,a6] |
j |
-658489/173280 |
j-invariant |
L |
1.5590530231171 |
L(r)(E,1)/r! |
Ω |
0.2598421738865 |
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 |
96330co1 |
Quadratic twists by: 13 |