Atkin-Lehner |
2- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
88088ba |
Isogeny class |
Conductor |
88088 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-476379904 = -1 · 28 · 7 · 112 · 133 |
Discriminant |
Eigenvalues |
2- -2 2 7+ 11- 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4737,-127085] |
[a1,a2,a3,a4,a6] |
j |
-379577279488/15379 |
j-invariant |
L |
1.7263795081719 |
L(r)(E,1)/r! |
Ω |
0.28772991489905 |
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 |
88088o1 |
Quadratic twists by: -11 |