Atkin-Lehner |
2+ 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394bh |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1966080 |
Modular degree for the optimal curve |
Δ |
105319532518244352 = 216 · 32 · 72 · 118 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2297067,-1340111786] |
[a1,a2,a3,a4,a6] |
j |
756638294163486337/59450130432 |
j-invariant |
L |
1.9621319439163 |
L(r)(E,1)/r! |
Ω |
0.12263324185118 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854o1 |
Quadratic twists by: -11 |