Atkin-Lehner |
2- 7- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
88102j |
Isogeny class |
Conductor |
88102 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
1370880 |
Modular degree for the optimal curve |
Δ |
-232995781601787904 = -1 · 217 · 711 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 2 3 7- -1 4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,119706,-16838557] |
[a1,a2,a3,a4,a6] |
j |
1612437917510447/1980431466496 |
j-invariant |
L |
11.426330828638 |
L(r)(E,1)/r! |
Ω |
0.16803427892657 |
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 |
12586h1 |
Quadratic twists by: -7 |