Atkin-Lehner |
2- 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72842k |
Isogeny class |
Conductor |
72842 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-9.591608439669E+26 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-46012733,-1494899100815] |
[a1,a2,a3,a4,a6] |
Generators |
[218090036034:3058271559727:16974593] |
Generators of the group modulo torsion |
j |
-6081373687548915771625/541421291147691716608 |
j-invariant |
L |
6.8545581385709 |
L(r)(E,1)/r! |
Ω |
0.021902266594486 |
Real period |
R |
13.040047155192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968293 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6622f3 |
Quadratic twists by: -11 |