Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
34200br |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
21036206250000 = 24 · 311 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 0 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28875,-1875625] |
[a1,a2,a3,a4,a6] |
j |
584362240/4617 |
j-invariant |
L |
4.3970076332683 |
L(r)(E,1)/r! |
Ω |
0.3664173027724 |
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 |
68400cq1 11400bg1 34200cr1 |
Quadratic twists by: -4 -3 5 |