Atkin-Lehner |
2- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598z |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-1467149149507944448 = -1 · 220 · 73 · 132 · 176 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -4 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,250364,32667047] |
[a1,a2,a3,a4,a6] |
Generators |
[5:5821:1] |
Generators of the group modulo torsion |
j |
71903073502287/60782804992 |
j-invariant |
L |
6.6319054197047 |
L(r)(E,1)/r! |
Ω |
0.17435107771868 |
Real period |
R |
0.63396084750474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000107 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
182a1 |
Quadratic twists by: 17 |