Atkin-Lehner |
2- 3+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
87204h |
Isogeny class |
Conductor |
87204 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
727344665918208 = 28 · 34 · 138 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 -6 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45348,-3468024] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:378:1] |
Generators of the group modulo torsion |
j |
8346562000/588627 |
j-invariant |
L |
5.7404092067385 |
L(r)(E,1)/r! |
Ω |
0.3286131331176 |
Real period |
R |
2.9114322337643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957449 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6708b2 |
Quadratic twists by: 13 |