Atkin-Lehner |
3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33813n |
Isogeny class |
Conductor |
33813 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.2925304964658E+23 |
Discriminant |
Eigenvalues |
1 3- -2 0 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10081422,12138337701] |
[a1,a2,a3,a4,a6] |
Generators |
[-981366699523539898860300:-12928827682423276900590293:922673436205977000000] |
Generators of the group modulo torsion |
j |
6439735268725823/7345472585373 |
j-invariant |
L |
5.6045794058195 |
L(r)(E,1)/r! |
Ω |
0.069371825355721 |
Real period |
R |
40.395213597745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11271h6 1989e6 |
Quadratic twists by: -3 17 |