Atkin-Lehner |
2- 3+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
61008d |
Isogeny class |
Conductor |
61008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
14191894732032 = 28 · 33 · 313 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13053,549009] |
[a1,a2,a3,a4,a6] |
j |
960833268736000/55437088797 |
j-invariant |
L |
1.3862945151466 |
L(r)(E,1)/r! |
Ω |
0.69314725729745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15252b2 |
Quadratic twists by: -4 |