Atkin-Lehner |
2- 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
87204a |
Isogeny class |
Conductor |
87204 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1158363727203072 = 28 · 3 · 138 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -4 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5000428,-4302200696] |
[a1,a2,a3,a4,a6] |
j |
11190390833554000/937443 |
j-invariant |
L |
0.80767710952834 |
L(r)(E,1)/r! |
Ω |
0.10095963110383 |
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 |
6708d2 |
Quadratic twists by: 13 |