Atkin-Lehner |
2+ 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38160o |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
8111915424000 = 28 · 314 · 53 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20847,1150414] |
[a1,a2,a3,a4,a6] |
j |
5368919813584/43466625 |
j-invariant |
L |
4.44814459624 |
L(r)(E,1)/r! |
Ω |
0.74135743270849 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19080o1 12720j1 |
Quadratic twists by: -4 -3 |