Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200cs |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
844800 |
Modular degree for the optimal curve |
Δ |
33657930000000000 = 210 · 311 · 510 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 4 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-190833,30785463] |
[a1,a2,a3,a4,a6] |
j |
76857529600/3365793 |
j-invariant |
L |
4.0108109418217 |
L(r)(E,1)/r! |
Ω |
0.36461916960641 |
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 |
91200fs1 11400d1 91200bn1 |
Quadratic twists by: -4 8 5 |