Atkin-Lehner |
2- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
79424k |
Isogeny class |
Conductor |
79424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
20820525056 = 224 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 0 2 4 -4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1484,20880] |
[a1,a2,a3,a4,a6] |
Generators |
[4068:27405:64] |
Generators of the group modulo torsion |
j |
1378749897/79424 |
j-invariant |
L |
8.3049179844179 |
L(r)(E,1)/r! |
Ω |
1.1939020936777 |
Real period |
R |
6.9561130924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994492 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79424d1 19856e1 |
Quadratic twists by: -4 8 |