Atkin-Lehner |
2- 7+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
129584l |
Isogeny class |
Conductor |
129584 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1575936 |
Modular degree for the optimal curve |
Δ |
-261600142249951232 = -1 · 231 · 7 · 133 · 892 |
Discriminant |
Eigenvalues |
2- 1 4 7+ -3 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,77384,23197012] |
[a1,a2,a3,a4,a6] |
j |
12511566144938951/63867222228992 |
j-invariant |
L |
2.6816220569837 |
L(r)(E,1)/r! |
Ω |
0.22346853806171 |
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 |
16198g1 |
Quadratic twists by: -4 |