Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25992bb |
Isogeny class |
Conductor |
25992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-541991420192772864 = -1 · 28 · 38 · 199 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 5 2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,177612,20604436] |
[a1,a2,a3,a4,a6] |
j |
70575104/61731 |
j-invariant |
L |
1.5209416245048 |
L(r)(E,1)/r! |
Ω |
0.19011770306306 |
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 |
51984u1 8664f1 1368c1 |
Quadratic twists by: -4 -3 -19 |