Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400cy |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-15611610816000000 = -1 · 212 · 315 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 5 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,61800,1082000] |
[a1,a2,a3,a4,a6] |
Generators |
[480656:11175156:1331] |
Generators of the group modulo torsion |
j |
559476224/334611 |
j-invariant |
L |
8.5647122831813 |
L(r)(E,1)/r! |
Ω |
0.24025770871231 |
Real period |
R |
8.9120057298985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999997244 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122400dd1 40800j1 4896g1 |
Quadratic twists by: -4 -3 5 |