Atkin-Lehner |
3+ 7- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86583p |
Isogeny class |
Conductor |
86583 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
50061312 |
Modular degree for the optimal curve |
Δ |
3.7802884618043E+25 |
Discriminant |
Eigenvalues |
-1 3+ 4 7- -2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-497087606,-4255708705774] |
[a1,a2,a3,a4,a6] |
j |
115460724105328254787849681/321319217486278221777 |
j-invariant |
L |
0.51166293385408 |
L(r)(E,1)/r! |
Ω |
0.031978932750916 |
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 |
12369d1 |
Quadratic twists by: -7 |