Atkin-Lehner |
3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235a |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
122758376243165685 = 39 · 5 · 119 · 232 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ 2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-941100,351230831] |
[a1,a2,a3,a4,a6] |
j |
1986121593/2645 |
j-invariant |
L |
2.6404003544907 |
L(r)(E,1)/r! |
Ω |
0.33005024734214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125235f2 125235b2 |
Quadratic twists by: -3 -11 |