Atkin-Lehner |
3+ 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
32775k |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.6797172271158E+20 |
Discriminant |
Eigenvalues |
2 3+ 5- -3 2 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1012016208,12391992427943] |
[a1,a2,a3,a4,a6] |
j |
-58688914588883190611431424/137201522028327 |
j-invariant |
L |
0.91275224961261 |
L(r)(E,1)/r! |
Ω |
0.1140940312009 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325cj2 32775bk2 |
Quadratic twists by: -3 5 |