Atkin-Lehner |
2+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5920f |
Isogeny class |
Conductor |
5920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
155904 |
Modular degree for the optimal curve |
Δ |
6075640136512000000 = 212 · 56 · 377 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 5 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9098765,10560141275] |
[a1,a2,a3,a4,a6] |
j |
20338136461105732942336/1483310580203125 |
j-invariant |
L |
2.7282990969317 |
L(r)(E,1)/r! |
Ω |
0.22735825807764 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5920h1 11840bf1 53280bh1 29600v1 |
Quadratic twists by: -4 8 -3 5 |