Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840dc |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
6.5657599000698E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-196505936,-986048358636] |
[a1,a2,a3,a4,a6] |
Generators |
[35434:6045000:1] |
Generators of the group modulo torsion |
j |
204875859366030708959506129/16029687256029794531250 |
j-invariant |
L |
8.8669679630686 |
L(r)(E,1)/r! |
Ω |
0.040523191339026 |
Real period |
R |
1.9536802058227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002184 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230v3 |
Quadratic twists by: -4 |