Atkin-Lehner |
2- 3+ 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040bp |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
422773947648000000 = 214 · 32 · 56 · 133 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-105456000096,13181238367312896] |
[a1,a2,a3,a4,a6] |
j |
31664865542564944883878115208137569/103216295812500 |
j-invariant |
L |
3.019141993322 |
L(r)(E,1)/r! |
Ω |
0.062898791587535 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6630w7 |
Quadratic twists by: -4 |