Atkin-Lehner |
7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15827h |
Isogeny class |
Conductor |
15827 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-194263803299867 = -1 · 78 · 173 · 193 |
Discriminant |
Eigenvalues |
0 -1 0 7- 0 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-118253,15705717] |
[a1,a2,a3,a4,a6] |
Generators |
[215:416:1] |
Generators of the group modulo torsion |
j |
-1554446024704000/1651215083 |
j-invariant |
L |
2.6217529866538 |
L(r)(E,1)/r! |
Ω |
0.56360903191006 |
Real period |
R |
0.77528713411161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2261d2 |
Quadratic twists by: -7 |