Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89376be |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-149429947597689024 = -1 · 26 · 310 · 78 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 3 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-227866,-45735836] |
[a1,a2,a3,a4,a6] |
j |
-3546499558336/405017091 |
j-invariant |
L |
1.7369530161498 |
L(r)(E,1)/r! |
Ω |
0.10855955887741 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89376ch1 89376cu1 |
Quadratic twists by: -4 -7 |