Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800cb |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
42199976000 = 26 · 53 · 74 · 133 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 4 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3498,80192] |
[a1,a2,a3,a4,a6] |
j |
591857683136/5274997 |
j-invariant |
L |
4.5952107701417 |
L(r)(E,1)/r! |
Ω |
1.1488026986732 |
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 |
72800w1 72800bb1 |
Quadratic twists by: -4 5 |