Atkin-Lehner |
3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725bf |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
1781771291015625 = 33 · 59 · 7 · 136 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 6 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-76138,7795406] |
[a1,a2,a3,a4,a6] |
j |
5177717/189 |
j-invariant |
L |
0.9343527415988 |
L(r)(E,1)/r! |
Ω |
0.46717638378623 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88725ck1 525c1 |
Quadratic twists by: 5 13 |