Atkin-Lehner |
2- 3+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113100b |
Isogeny class |
Conductor |
113100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
49460892000000 = 28 · 3 · 56 · 132 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 6 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9755708,-11725082088] |
[a1,a2,a3,a4,a6] |
j |
25670843788818706000/12365223 |
j-invariant |
L |
1.025100204281 |
L(r)(E,1)/r! |
Ω |
0.085424973502648 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4524e4 |
Quadratic twists by: 5 |