Atkin-Lehner |
2- 7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
89488h |
Isogeny class |
Conductor |
89488 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
14419056689938432 = 230 · 75 · 17 · 47 |
Discriminant |
Eigenvalues |
2- 0 0 7- 0 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4478995,-3648534318] |
[a1,a2,a3,a4,a6] |
j |
2426082119578464971625/3520277512192 |
j-invariant |
L |
2.0755559393148 |
L(r)(E,1)/r! |
Ω |
0.10377779720245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11186a1 |
Quadratic twists by: -4 |