Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960bi |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
-3.8616888688735E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2091273,-2753929654] |
[a1,a2,a3,a4,a6] |
j |
115203799856/439833375 |
j-invariant |
L |
3.4004461297894 |
L(r)(E,1)/r! |
Ω |
0.07084261285849 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43320s1 6840u1 |
Quadratic twists by: -3 -19 |