Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
34800dl |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
60886080000000 = 212 · 38 · 57 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12008,335988] |
[a1,a2,a3,a4,a6] |
Generators |
[148:1350:1] [-77:900:1] |
Generators of the group modulo torsion |
j |
2992209121/951345 |
j-invariant |
L |
9.1564450224737 |
L(r)(E,1)/r! |
Ω |
0.57634421691863 |
Real period |
R |
0.49647224445509 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2175b1 104400ef1 6960be1 |
Quadratic twists by: -4 -3 5 |