Atkin-Lehner |
2- 3- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
129456bl |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
200704 |
Modular degree for the optimal curve |
Δ |
-5870781960192 = -1 · 212 · 313 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 2 5 -4 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2085,110666] |
[a1,a2,a3,a4,a6] |
j |
335702375/1966113 |
j-invariant |
L |
2.1914822648314 |
L(r)(E,1)/r! |
Ω |
0.547870588577 |
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 |
8091c1 43152bb1 |
Quadratic twists by: -4 -3 |