Atkin-Lehner |
2- 3- 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
99540f |
Isogeny class |
Conductor |
99540 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
421346698290000 = 24 · 39 · 54 · 73 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33708,2167657] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:2133:1] |
Generators of the group modulo torsion |
j |
363140892737536/36123688125 |
j-invariant |
L |
5.9662842678177 |
L(r)(E,1)/r! |
Ω |
0.51562532265277 |
Real period |
R |
0.96424736061628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999842438 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33180o1 |
Quadratic twists by: -3 |