Atkin-Lehner |
2- 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129948n |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
3840138145233936 = 24 · 33 · 77 · 133 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 0 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2072814,1149339717] |
[a1,a2,a3,a4,a6] |
j |
523234893686948608/2040039729 |
j-invariant |
L |
2.3264499471729 |
L(r)(E,1)/r! |
Ω |
0.3877418361136 |
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 |
18564q2 |
Quadratic twists by: -7 |