Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472a |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6684672 |
Modular degree for the optimal curve |
Δ |
1.9107872719802E+22 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14051180,19151031216] |
[a1,a2,a3,a4,a6] |
Generators |
[160153950:-11177542656:24389] |
Generators of the group modulo torsion |
j |
9869198625/614656 |
j-invariant |
L |
5.8076656262218 |
L(r)(E,1)/r! |
Ω |
0.12004942209595 |
Real period |
R |
12.094322601138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997771697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472cu1 4046h1 129472y1 |
Quadratic twists by: -4 8 17 |