Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680du |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.6576115100287E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13865601,19861805601] |
[a1,a2,a3,a4,a6] |
Generators |
[1751:30800:1] |
Generators of the group modulo torsion |
j |
1124604760397601117601/1013798336040000 |
j-invariant |
L |
4.7908064293165 |
L(r)(E,1)/r! |
Ω |
0.17332174021408 |
Real period |
R |
3.4551395607045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038753 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680cf4 31920cc4 |
Quadratic twists by: -4 8 |