Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672cc |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-169751710175297536 = -1 · 215 · 119 · 133 |
Discriminant |
Eigenvalues |
2- 0 1 -3 11+ 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-388652,-95342192] |
[a1,a2,a3,a4,a6] |
j |
-84027672/2197 |
j-invariant |
L |
0.38182885956909 |
L(r)(E,1)/r! |
Ω |
0.095457274030156 |
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 |
100672cb1 50336q1 100672cf1 |
Quadratic twists by: -4 8 -11 |