Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480bo |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-98438558526000 = -1 · 24 · 34 · 53 · 73 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10299,-260424] |
[a1,a2,a3,a4,a6] |
Generators |
[200:3124:1] |
Generators of the group modulo torsion |
j |
7549996227362816/6152409907875 |
j-invariant |
L |
3.5451261043503 |
L(r)(E,1)/r! |
Ω |
0.33200868818118 |
Real period |
R |
3.5592704152525 |
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 |
4620j3 73920hh3 55440dy3 92400hh3 |
Quadratic twists by: -4 8 -3 5 |