Atkin-Lehner |
2- 3- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
80388d |
Isogeny class |
Conductor |
80388 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
3151531152 = 24 · 36 · 7 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-885,-9767] |
[a1,a2,a3,a4,a6] |
Generators |
[-13248:12925:729] |
Generators of the group modulo torsion |
j |
6572128000/270193 |
j-invariant |
L |
6.3283982747432 |
L(r)(E,1)/r! |
Ω |
0.87753418033536 |
Real period |
R |
7.2115689826012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8932e1 |
Quadratic twists by: -3 |