Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960cj |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19353600 |
Modular degree for the optimal curve |
Δ |
-9.9735617153278E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,45354957,96254665342] |
[a1,a2,a3,a4,a6] |
j |
293798043977756/283988784375 |
j-invariant |
L |
1.7144464360449 |
L(r)(E,1)/r! |
Ω |
0.047623533445402 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43320q1 6840g1 |
Quadratic twists by: -3 -19 |