Atkin-Lehner |
2+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5920h |
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 |
1.0431267561965 |
L(r)(E,1)/r! |
Ω |
0.086927229683039 |
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 |
5920f1 11840bc1 53280bf1 29600t1 |
Quadratic twists by: -4 8 -3 5 |