Atkin-Lehner |
2+ 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86394x |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
21288960 |
Modular degree for the optimal curve |
Δ |
-2.1169266769988E+25 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10256326,221725930424] |
[a1,a2,a3,a4,a6] |
j |
-4600152712890625/816166874531232 |
j-invariant |
L |
0.77890303853155 |
L(r)(E,1)/r! |
Ω |
0.055635935922434 |
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 |
86394cr1 |
Quadratic twists by: -11 |