Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720fc |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.165090659582E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17948172,27987358736] |
[a1,a2,a3,a4,a6] |
Generators |
[-1118:216000:1] |
Generators of the group modulo torsion |
j |
3345930611358906241/165622259047500 |
j-invariant |
L |
6.2282079046161 |
L(r)(E,1)/r! |
Ω |
0.11563943916132 |
Real period |
R |
3.3661785016685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720bx3 13680bd3 18240bz4 |
Quadratic twists by: -4 8 -3 |