Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101920d |
Isogeny class |
Conductor |
101920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1175097035840 = 26 · 5 · 710 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3446,58976] |
[a1,a2,a3,a4,a6] |
j |
601211584/156065 |
j-invariant |
L |
1.6212720292779 |
L(r)(E,1)/r! |
Ω |
0.81063607172484 |
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 |
101920f1 14560g1 |
Quadratic twists by: -4 -7 |