Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376bq |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
9274227375168 = 26 · 33 · 710 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6778,159328] |
[a1,a2,a3,a4,a6] |
j |
4574296000/1231713 |
j-invariant |
L |
1.3620990619484 |
L(r)(E,1)/r! |
Ω |
0.68104947067784 |
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 |
89376p1 12768t1 |
Quadratic twists by: -4 -7 |