Atkin-Lehner |
2- 11+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
86768f |
Isogeny class |
Conductor |
86768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
3007586412396544 = 217 · 115 · 173 · 29 |
Discriminant |
Eigenvalues |
2- -1 1 0 11+ -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38400,-1181696] |
[a1,a2,a3,a4,a6] |
j |
1528863621465601/734274026464 |
j-invariant |
L |
0.71543446386227 |
L(r)(E,1)/r! |
Ω |
0.35771726153677 |
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 |
10846e1 |
Quadratic twists by: -4 |