Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
82908h |
Isogeny class |
Conductor |
82908 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
27862325132544 = 28 · 39 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -1 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10584,333396] |
[a1,a2,a3,a4,a6] |
j |
221184/47 |
j-invariant |
L |
1.257900001001 |
L(r)(E,1)/r! |
Ω |
0.62895000607143 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82908d1 1692a1 |
Quadratic twists by: -3 -7 |