Atkin-Lehner |
2- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116032bj |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
278592832 = 26 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 1 0 7- 1 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-163,-29] |
[a1,a2,a3,a4,a6] |
j |
64000/37 |
j-invariant |
L |
1.4731329438631 |
L(r)(E,1)/r! |
Ω |
1.473133209877 |
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 |
116032bl1 58016c1 2368n1 |
Quadratic twists by: -4 8 -7 |