Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
101920be |
Isogeny class |
Conductor |
101920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
23981572160 = 26 · 5 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -6 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-833,-5488] |
[a1,a2,a3,a4,a6] |
j |
8489664/3185 |
j-invariant |
L |
1.8339214084767 |
L(r)(E,1)/r! |
Ω |
0.91696059141535 |
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 |
101920bd1 14560n1 |
Quadratic twists by: -4 -7 |