Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600ct |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.421166464E+29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -6 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1342514925,-14212127112750] |
[a1,a2,a3,a4,a6] |
Generators |
[1440596871044619151611705597992920:367308958387326401546431251576171875:35533180674098860435214358016] |
Generators of the group modulo torsion |
j |
212427047662836354837/192200000000000000 |
j-invariant |
L |
6.5381461552963 |
L(r)(E,1)/r! |
Ω |
0.017146782191937 |
Real period |
R |
47.663069121206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056181 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13950d2 111600cu2 22320v2 |
Quadratic twists by: -4 -3 5 |