Atkin-Lehner |
2+ 5- 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
79550h |
Isogeny class |
Conductor |
79550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
136826000 = 24 · 53 · 37 · 432 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-290,1700] |
[a1,a2,a3,a4,a6] |
j |
21694295069/1094608 |
j-invariant |
L |
3.6391285175436 |
L(r)(E,1)/r! |
Ω |
1.8195642838114 |
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 |
79550u1 |
Quadratic twists by: 5 |