Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200ih |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-1434451968000000000 = -1 · 232 · 32 · 59 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-125633,60076863] |
[a1,a2,a3,a4,a6] |
j |
-53540005609/350208000 |
j-invariant |
L |
1.8569424179281 |
L(r)(E,1)/r! |
Ω |
0.23211779818806 |
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 |
91200f1 22800bu1 18240cg1 |
Quadratic twists by: -4 8 5 |