Atkin-Lehner |
3+ 5+ 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
115575b |
Isogeny class |
Conductor |
115575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
26265068859375 = 35 · 56 · 23 · 673 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 1 0 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8638,-189844] |
[a1,a2,a3,a4,a6] |
j |
4561907001625/1680964407 |
j-invariant |
L |
1.021126625087 |
L(r)(E,1)/r! |
Ω |
0.5105632332794 |
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 |
4623b1 |
Quadratic twists by: 5 |