Atkin-Lehner |
3+ 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
86775c |
Isogeny class |
Conductor |
86775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23683968 |
Modular degree for the optimal curve |
Δ |
-1.5519250724794E+24 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 0 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-22213888,-72216962127] |
[a1,a2,a3,a4,a6] |
j |
-48490588691133208617717760/62077002899175003414987 |
j-invariant |
L |
4.2468388981133 |
L(r)(E,1)/r! |
Ω |
0.03317842926575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86775z1 |
Quadratic twists by: 5 |