Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29520g |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
306063360 = 211 · 36 · 5 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78723,-8501598] |
[a1,a2,a3,a4,a6] |
j |
36138584631042/205 |
j-invariant |
L |
2.2801537526681 |
L(r)(E,1)/r! |
Ω |
0.28501921908353 |
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 |
14760d3 118080fd4 3280f3 |
Quadratic twists by: -4 8 -3 |