Atkin-Lehner |
2- 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79560bs |
Isogeny class |
Conductor |
79560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
9062381250000 = 24 · 38 · 58 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7842,-224651] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:175:1] |
Generators of the group modulo torsion |
j |
4572531595264/776953125 |
j-invariant |
L |
6.0568828263678 |
L(r)(E,1)/r! |
Ω |
0.51320693670259 |
Real period |
R |
1.475253545984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001346 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26520f1 |
Quadratic twists by: -3 |