Atkin-Lehner |
3- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
78771q |
Isogeny class |
Conductor |
78771 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
73603200 |
Modular degree for the optimal curve |
Δ |
1.1644955218803E+28 |
Discriminant |
Eigenvalues |
-2 3- -1 7+ 11- 4 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-645002156,-3577641987958] |
[a1,a2,a3,a4,a6] |
j |
138441319673870153273344/54324575517834540261 |
j-invariant |
L |
0.92940814383288 |
L(r)(E,1)/r! |
Ω |
0.030980272274041 |
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 |
78771w1 |
Quadratic twists by: -11 |