Atkin-Lehner |
2- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
47600u |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
88817792000000 = 213 · 56 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11208,-51088] |
[a1,a2,a3,a4,a6] |
Generators |
[3722:226950:1] |
Generators of the group modulo torsion |
j |
2433138625/1387778 |
j-invariant |
L |
9.0696119271586 |
L(r)(E,1)/r! |
Ω |
0.50206947305566 |
Real period |
R |
4.5161140110506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5950f2 1904e2 |
Quadratic twists by: -4 5 |