Atkin-Lehner |
2+ 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394bg |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-1147432651031898 = -1 · 2 · 33 · 73 · 118 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14281,1755950] |
[a1,a2,a3,a4,a6] |
j |
-1502499625/5352858 |
j-invariant |
L |
2.5639280899627 |
L(r)(E,1)/r! |
Ω |
0.42732134620268 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
86394cp1 |
Quadratic twists by: -11 |