Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127296dq |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
8578732032 = 212 · 36 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-516,-704] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:36:1] |
Generators of the group modulo torsion |
j |
5088448/2873 |
j-invariant |
L |
5.9283997820974 |
L(r)(E,1)/r! |
Ω |
1.0793329889739 |
Real period |
R |
1.3731628243443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067316 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296dr1 63648e1 14144x1 |
Quadratic twists by: -4 8 -3 |