Atkin-Lehner |
3- 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
58905bg |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-209108858777345835 = -1 · 320 · 5 · 73 · 112 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5638,21999084] |
[a1,a2,a3,a4,a6] |
j |
27192154047911/286843427678115 |
j-invariant |
L |
0.99778413691203 |
L(r)(E,1)/r! |
Ω |
0.24944603584682 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635e2 |
Quadratic twists by: -3 |