Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480bb |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-599411910240000 = -1 · 28 · 39 · 54 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108783,13860018] |
[a1,a2,a3,a4,a6] |
Generators |
[169:-550:1] |
Generators of the group modulo torsion |
j |
-28253714280048/118958125 |
j-invariant |
L |
4.5569042840042 |
L(r)(E,1)/r! |
Ω |
0.51787962049316 |
Real period |
R |
0.54994733617463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960c1 51480f1 |
Quadratic twists by: -4 -3 |