Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290cm |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
Δ |
4.8631334065351E+28 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 11- -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1109212266,9466079461796] |
[a1,a2,a3,a4,a6] |
Generators |
[-29324:4110662:1] |
Generators of the group modulo torsion |
j |
35482926498594608353369/11433202941952000000 |
j-invariant |
L |
9.690184631244 |
L(r)(E,1)/r! |
Ω |
0.032993548795619 |
Real period |
R |
1.882688295669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290el2 5390b2 |
Quadratic twists by: -7 -11 |