Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600bl |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-126812160000000 = -1 · 222 · 32 · 57 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11008,704512] |
[a1,a2,a3,a4,a6] |
j |
-2305199161/1981440 |
j-invariant |
L |
2.1473121152845 |
L(r)(E,1)/r! |
Ω |
0.53682802879156 |
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 |
6450bg1 10320be1 |
Quadratic twists by: -4 5 |