Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360fc |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1239272939520 = 213 · 36 · 5 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5280,139392] |
[a1,a2,a3,a4,a6] |
j |
11589205447/882090 |
j-invariant |
L |
3.3761536320337 |
L(r)(E,1)/r! |
Ω |
0.8440385502491 |
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 |
16170cg2 129360ge2 |
Quadratic twists by: -4 -7 |