Atkin-Lehner |
3+ 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
125715i |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16176319874671875 = 3 · 56 · 177 · 292 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 -2 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-100433,10571262] |
[a1,a2,a3,a4,a6] |
j |
4641584349241/670171875 |
j-invariant |
L |
0.75190728679133 |
L(r)(E,1)/r! |
Ω |
0.37595315568746 |
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 |
7395l2 |
Quadratic twists by: 17 |