Atkin-Lehner |
2+ 3+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424r |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-4060930404031488 = -1 · 210 · 36 · 133 · 195 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 4 13- 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-199633,34535065] |
[a1,a2,a3,a4,a6] |
j |
-859256706676000000/3965752347687 |
j-invariant |
L |
2.6498956951628 |
L(r)(E,1)/r! |
Ω |
0.44164928248558 |
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 |
47424dq1 5928g1 |
Quadratic twists by: -4 8 |