Atkin-Lehner |
2- 3+ 7- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
115038y |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
832 |
Product of Tamagawa factors cp |
Δ |
-2.2231621302794E+21 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-909011,-2292693389] |
[a1,a2,a3,a4,a6] |
Generators |
[2107:70658:1] |
Generators of the group modulo torsion |
j |
-4220261750742134859/112948337665974272 |
j-invariant |
L |
10.813903895926 |
L(r)(E,1)/r! |
Ω |
0.063379132101629 |
Real period |
R |
0.82030032097284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032818 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115038e2 |
Quadratic twists by: -3 |