Atkin-Lehner |
2- 5- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
69520bh |
Isogeny class |
Conductor |
69520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1.3252583559105E+19 |
Discriminant |
Eigenvalues |
2- 2 5- -2 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-971440,-323924160] |
[a1,a2,a3,a4,a6] |
j |
24752106059165498161/3235494032984510 |
j-invariant |
L |
1.8405855141149 |
L(r)(E,1)/r! |
Ω |
0.15338212551902 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8690g4 |
Quadratic twists by: -4 |