Atkin-Lehner |
2- 3+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
64752g |
Isogeny class |
Conductor |
64752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
6797961265152 = 216 · 3 · 193 · 712 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 6 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5344,-81152] |
[a1,a2,a3,a4,a6] |
j |
4121396307937/1659658512 |
j-invariant |
L |
1.1564746743574 |
L(r)(E,1)/r! |
Ω |
0.57823733807587 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8094f1 |
Quadratic twists by: -4 |