Atkin-Lehner |
2+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
10082f |
Isogeny class |
Conductor |
10082 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
127800 |
Modular degree for the optimal curve |
Δ |
-20664112999864352 = -1 · 25 · 718 |
Discriminant |
Eigenvalues |
2+ -1 4 -4 1 -6 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7457,-6908635] |
[a1,a2,a3,a4,a6] |
j |
71/32 |
j-invariant |
L |
0.53897049224542 |
L(r)(E,1)/r! |
Ω |
0.17965683074847 |
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 |
80656j1 90738bf1 10082e1 |
Quadratic twists by: -4 -3 -71 |