Atkin-Lehner |
5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
111265g |
Isogeny class |
Conductor |
111265 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1527552 |
Modular degree for the optimal curve |
Δ |
-284344952840361875 = -1 · 54 · 72 · 113 · 178 |
Discriminant |
Eigenvalues |
2 -1 5+ 7- 11- 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,109724,-21542459] |
[a1,a2,a3,a4,a6] |
j |
20942729216/40761875 |
j-invariant |
L |
5.7964616564354 |
L(r)(E,1)/r! |
Ω |
0.16101280836665 |
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 |
111265j1 |
Quadratic twists by: 17 |