Atkin-Lehner |
2- 3- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
19470bc |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
756993600 = 26 · 36 · 52 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-266,996] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:52:1] |
Generators of the group modulo torsion |
j |
2081951752609/756993600 |
j-invariant |
L |
9.302007537631 |
L(r)(E,1)/r! |
Ω |
1.4631921477588 |
Real period |
R |
0.3531854632535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58410j1 97350i1 |
Quadratic twists by: -3 5 |