Atkin-Lehner |
2+ 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840bg |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1227600000000 = 210 · 32 · 58 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65680,-6500572] |
[a1,a2,a3,a4,a6] |
j |
30600590002159684/1198828125 |
j-invariant |
L |
4.7715745588245 |
L(r)(E,1)/r! |
Ω |
0.29822341461224 |
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 |
40920k4 |
Quadratic twists by: -4 |