Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10404a |
Isogeny class |
Conductor |
10404 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-634892927080602672 = -1 · 24 · 39 · 1710 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 0 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-38336139] |
[a1,a2,a3,a4,a6] |
j |
0 |
j-invariant |
L |
2.3806898716101 |
L(r)(E,1)/r! |
Ω |
0.13226054842279 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41616bj2 10404a1 10404f2 |
Quadratic twists by: -4 -3 17 |