Atkin-Lehner |
5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6355g |
Isogeny class |
Conductor |
6355 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
2.1420024505628E+23 |
Discriminant |
Eigenvalues |
1 2 5- -2 -4 0 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-261796522,1630137940131] |
[a1,a2,a3,a4,a6] |
Generators |
[73086:219207:8] |
Generators of the group modulo torsion |
j |
1984336553059625088578391670441/214200245056277392578125 |
j-invariant |
L |
6.514102163887 |
L(r)(E,1)/r! |
Ω |
0.095824839325714 |
Real period |
R |
3.0899665993439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101680t2 57195q2 31775f2 |
Quadratic twists by: -4 -3 5 |