Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600eb |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
26359473600000000 = 212 · 312 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-585075,172075250] |
[a1,a2,a3,a4,a6] |
Generators |
[-785:12150:1] |
Generators of the group modulo torsion |
j |
474734543401/564975 |
j-invariant |
L |
6.2534295596919 |
L(r)(E,1)/r! |
Ω |
0.374784196652 |
Real period |
R |
2.0856767729375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014589 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6975i2 37200bn2 22320bh2 |
Quadratic twists by: -4 -3 5 |