Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29520j |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1708629619599360 = 211 · 310 · 5 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-160563,-24683758] |
[a1,a2,a3,a4,a6] |
j |
306621535079522/1144433205 |
j-invariant |
L |
1.9084274793753 |
L(r)(E,1)/r! |
Ω |
0.2385534349223 |
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 |
14760e3 118080fp4 9840f3 |
Quadratic twists by: -4 8 -3 |