Atkin-Lehner |
3- 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53475l |
Isogeny class |
Conductor |
53475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
768703125 = 3 · 56 · 232 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12388,-531733] |
[a1,a2,a3,a4,a6] |
Generators |
[19182:495083:27] |
Generators of the group modulo torsion |
j |
13455798261625/49197 |
j-invariant |
L |
4.0048226847361 |
L(r)(E,1)/r! |
Ω |
0.45253186786895 |
Real period |
R |
8.8498136132418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000109 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2139a2 |
Quadratic twists by: 5 |