Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600bf |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
512923341250000 = 24 · 57 · 177 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-202300,-35005125] |
[a1,a2,a3,a4,a6] |
j |
151732224/85 |
j-invariant |
L |
4.0521711908213 |
L(r)(E,1)/r! |
Ω |
0.22512057357041 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28900b1 23120bc1 6800i1 |
Quadratic twists by: -4 5 17 |