Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
28320s |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
12744000000000 = 212 · 33 · 59 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -3 -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6125,69477] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:500:1] |
Generators of the group modulo torsion |
j |
6205159461376/3111328125 |
j-invariant |
L |
4.1759026396216 |
L(r)(E,1)/r! |
Ω |
0.62874537722103 |
Real period |
R |
0.368980193724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28320z1 56640cv1 84960j1 |
Quadratic twists by: -4 8 -3 |