Atkin-Lehner |
2- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44506r |
Isogeny class |
Conductor |
44506 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-5619504871904 = -1 · 25 · 73 · 116 · 172 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 11- 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2454,-124301] |
[a1,a2,a3,a4,a6] |
Generators |
[197:2563:1] |
Generators of the group modulo torsion |
j |
-5655364552513/19444653536 |
j-invariant |
L |
9.5638574555988 |
L(r)(E,1)/r! |
Ω |
0.31163364518313 |
Real period |
R |
1.022980841278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44506v2 |
Quadratic twists by: 17 |