Atkin-Lehner |
2+ 3- 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760t |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
72881250000 = 24 · 3 · 58 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4095,-101400] |
[a1,a2,a3,a4,a6] |
Generators |
[104:780:1] |
Generators of the group modulo torsion |
j |
474757132711936/4555078125 |
j-invariant |
L |
8.7608511490175 |
L(r)(E,1)/r! |
Ω |
0.59714360336641 |
Real period |
R |
3.6678158736092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880q1 |
Quadratic twists by: -4 |