Atkin-Lehner |
2- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83600bz |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
4129219531250000 = 24 · 511 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11- 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45200,2030375] |
[a1,a2,a3,a4,a6] |
j |
40850653446144/16516878125 |
j-invariant |
L |
1.5925775675365 |
L(r)(E,1)/r! |
Ω |
0.39814438231181 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20900a1 16720x1 |
Quadratic twists by: -4 5 |