Atkin-Lehner |
2- 3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
87600bi |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1034880 |
Modular degree for the optimal curve |
Δ |
-51726924000000 = -1 · 28 · 311 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1222133,-519619863] |
[a1,a2,a3,a4,a6] |
j |
-50468394519494656/12931731 |
j-invariant |
L |
0.14358864417145 |
L(r)(E,1)/r! |
Ω |
0.07179428999884 |
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 |
21900g1 3504w1 |
Quadratic twists by: -4 5 |