Atkin-Lehner |
2- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
87100c |
Isogeny class |
Conductor |
87100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
2943980000000 = 28 · 57 · 133 · 67 |
Discriminant |
Eigenvalues |
2- 2 5+ -5 0 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10908,434312] |
[a1,a2,a3,a4,a6] |
j |
35887146064/735995 |
j-invariant |
L |
1.6048640613026 |
L(r)(E,1)/r! |
Ω |
0.80243209795717 |
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 |
17420e1 |
Quadratic twists by: 5 |