Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
63580d |
Isogeny class |
Conductor |
63580 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
5841291698000 = 24 · 53 · 112 · 176 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11- -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13101,569726] |
[a1,a2,a3,a4,a6] |
Generators |
[38:354:1] |
Generators of the group modulo torsion |
j |
643956736/15125 |
j-invariant |
L |
9.8300304275422 |
L(r)(E,1)/r! |
Ω |
0.75684451100726 |
Real period |
R |
4.3293923143492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000209 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
220a1 |
Quadratic twists by: 17 |