Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480bm |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
200002150656000000 = 214 · 32 · 56 · 72 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5324016,4730049216] |
[a1,a2,a3,a4,a6] |
Generators |
[1208:7744:1] |
Generators of the group modulo torsion |
j |
4074571110566294433649/48828650062500 |
j-invariant |
L |
4.0790564768487 |
L(r)(E,1)/r! |
Ω |
0.28852135830376 |
Real period |
R |
1.1781497739687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2310t6 73920hf6 55440dz6 92400hj6 |
Quadratic twists by: -4 8 -3 5 |