Atkin-Lehner |
2+ 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
40920s |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-5424093139661982720 = -1 · 210 · 324 · 5 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,222960,104543280] |
[a1,a2,a3,a4,a6] |
j |
1197023494958861756/5296965956701155 |
j-invariant |
L |
4.1442658723918 |
L(r)(E,1)/r! |
Ω |
0.17267774468601 |
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 |
81840j3 122760br3 |
Quadratic twists by: -4 -3 |