Atkin-Lehner |
2+ 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104k |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
-5.2631498510075E+21 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 2 4 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44811003,115511035466] |
[a1,a2,a3,a4,a6] |
j |
-11205525764162/5926527 |
j-invariant |
L |
4.2950067179431 |
L(r)(E,1)/r! |
Ω |
0.13421897463902 |
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 |
60552p1 40368b1 4176i1 |
Quadratic twists by: -4 -3 29 |