Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42588u |
Isogeny class |
Conductor |
42588 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-113291332025861808 = -1 · 24 · 311 · 72 · 138 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13+ 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,77064,-13944359] |
[a1,a2,a3,a4,a6] |
j |
899022848/2012283 |
j-invariant |
L |
2.0724527782235 |
L(r)(E,1)/r! |
Ω |
0.17270439817528 |
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 |
14196n1 3276f1 |
Quadratic twists by: -3 13 |