Atkin-Lehner |
2+ 3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394be |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
3.0870119831357E+26 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2681581312,53441474067980] |
[a1,a2,a3,a4,a6] |
Generators |
[20578:2630513:1] |
Generators of the group modulo torsion |
j |
904403962624187353472747/130919442993517374 |
j-invariant |
L |
4.806695008547 |
L(r)(E,1)/r! |
Ω |
0.052584020804271 |
Real period |
R |
5.0783224116806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86394ck2 |
Quadratic twists by: -11 |