Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
5082b |
Isogeny class |
Conductor |
5082 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7920 |
Modular degree for the optimal curve |
Δ |
-235268222112 = -1 · 25 · 311 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- -3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5799,169173] |
[a1,a2,a3,a4,a6] |
j |
-178284948703873/1944365472 |
j-invariant |
L |
0.99494143140631 |
L(r)(E,1)/r! |
Ω |
0.99494143140631 |
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 |
40656dh1 15246bg1 127050ia1 35574bh1 |
Quadratic twists by: -4 -3 5 -7 |