Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920hz |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
6349820346777600 = 214 · 32 · 52 · 76 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-166545,25822575] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:7056:1] |
Generators of the group modulo torsion |
j |
31181799673942864/387562277025 |
j-invariant |
L |
8.6600794021566 |
L(r)(E,1)/r! |
Ω |
0.4248236978606 |
Real period |
R |
1.6987594784213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001585 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920be2 18480f2 |
Quadratic twists by: -4 8 |