Atkin-Lehner |
2- 3+ 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
49560x |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4.6627406553943E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1161297800,-15231808522500] |
[a1,a2,a3,a4,a6] |
j |
169143208979657829770585440804/455345767128348140625 |
j-invariant |
L |
2.4827612419953 |
L(r)(E,1)/r! |
Ω |
0.025862096267783 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99120bg4 |
Quadratic twists by: -4 |