Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600bm |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-44081718750000 = -1 · 24 · 38 · 510 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -3 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4167,-303588] |
[a1,a2,a3,a4,a6] |
j |
51200000/282123 |
j-invariant |
L |
0.64261784528325 |
L(r)(E,1)/r! |
Ω |
0.3213089228575 |
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 |
12900j1 51600dt1 |
Quadratic twists by: -4 5 |