Atkin-Lehner |
2- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
73892j |
Isogeny class |
Conductor |
73892 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
642366794641936 = 24 · 710 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 1 3 7- -3 13+ 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-82434,-9055327] |
[a1,a2,a3,a4,a6] |
j |
13707167488/142129 |
j-invariant |
L |
3.3831850038752 |
L(r)(E,1)/r! |
Ω |
0.28193208560927 |
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 |
73892f1 |
Quadratic twists by: -7 |