Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69300cg |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4066779267936000 = 28 · 311 · 53 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45615,2155750] |
[a1,a2,a3,a4,a6] |
j |
449955166736/174330387 |
j-invariant |
L |
1.6005822995832 |
L(r)(E,1)/r! |
Ω |
0.40014557629317 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23100bg2 69300cm2 |
Quadratic twists by: -3 5 |