Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600bw |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
33816576000000 = 224 · 3 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9608,233712] |
[a1,a2,a3,a4,a6] |
j |
1532808577/528384 |
j-invariant |
L |
2.407656569531 |
L(r)(E,1)/r! |
Ω |
0.60191414204341 |
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 |
6450o1 2064n1 |
Quadratic twists by: -4 5 |