Atkin-Lehner |
3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
39039h |
Isogeny class |
Conductor |
39039 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12620604397401 = 32 · 74 · 112 · 136 |
Discriminant |
Eigenvalues |
1 3+ 2 7+ 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6594,112455] |
[a1,a2,a3,a4,a6] |
j |
6570725617/2614689 |
j-invariant |
L |
1.2919829839191 |
L(r)(E,1)/r! |
Ω |
0.64599149198384 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117117r2 231a2 |
Quadratic twists by: -3 13 |