Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200ci |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-376421920000000000 = -1 · 214 · 510 · 73 · 193 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,174792,9013588] |
[a1,a2,a3,a4,a6] |
Generators |
[204:7294:1] |
Generators of the group modulo torsion |
j |
14764742975/9410548 |
j-invariant |
L |
4.8735778615699 |
L(r)(E,1)/r! |
Ω |
0.18749636893747 |
Real period |
R |
4.3321531053031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650c2 53200de2 |
Quadratic twists by: -4 5 |