Atkin-Lehner |
3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81225v |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4064256 |
Modular degree for the optimal curve |
Δ |
8.8750240219281E+20 |
Discriminant |
Eigenvalues |
-2 3- 5+ 2 -1 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2951175,-1324181844] |
[a1,a2,a3,a4,a6] |
j |
1914902401024/597871125 |
j-invariant |
L |
0.94404653919883 |
L(r)(E,1)/r! |
Ω |
0.11800581877626 |
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 |
27075o1 16245h1 81225bh1 |
Quadratic twists by: -3 5 -19 |