Atkin-Lehner |
2- 3+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
87204k |
Isogeny class |
Conductor |
87204 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3303767321369558784 = 28 · 314 · 137 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-380644,22996024] |
[a1,a2,a3,a4,a6] |
Generators |
[73777270:12093990537:2744] |
Generators of the group modulo torsion |
j |
4936074881488/2673679671 |
j-invariant |
L |
3.3964319833082 |
L(r)(E,1)/r! |
Ω |
0.21931019750804 |
Real period |
R |
15.486885762378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023485 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6708c2 |
Quadratic twists by: 13 |