Atkin-Lehner |
2- 3+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560dc |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
72858009600 = 216 · 36 · 52 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 6 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5025,138177] |
[a1,a2,a3,a4,a6] |
j |
214160022436/1111725 |
j-invariant |
L |
2.1963181771708 |
L(r)(E,1)/r! |
Ω |
1.0981590908518 |
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 |
58560bt2 14640j2 |
Quadratic twists by: -4 8 |