Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113256r |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5.9636009896633E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4805031,-3880091270] |
[a1,a2,a3,a4,a6] |
Generators |
[3287:125856:1] |
Generators of the group modulo torsion |
j |
37109806448848/1803785841 |
j-invariant |
L |
2.7120595103778 |
L(r)(E,1)/r! |
Ω |
0.10227817302886 |
Real period |
R |
6.6291258598209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999391398 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37752u2 10296n2 |
Quadratic twists by: -3 -11 |