Atkin-Lehner |
2+ 3- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61272d |
Isogeny class |
Conductor |
61272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
423088551936 = 211 · 38 · 23 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 6 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8499,299950] |
[a1,a2,a3,a4,a6] |
j |
45474687074/283383 |
j-invariant |
L |
1.897018260379 |
L(r)(E,1)/r! |
Ω |
0.94850913098801 |
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 |
122544k2 20424a2 |
Quadratic twists by: -4 -3 |