Atkin-Lehner |
2- 3- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41496x |
Isogeny class |
Conductor |
41496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5258880 |
Modular degree for the optimal curve |
Δ |
-1.1689615333736E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 3 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52805873,156572025987] |
[a1,a2,a3,a4,a6] |
Generators |
[14477040874612190985475647:-1114816233633497017031517762:1491376221011281805747] |
Generators of the group modulo torsion |
j |
-63610738216636052203648000/4566255989740545691227 |
j-invariant |
L |
6.9873980597686 |
L(r)(E,1)/r! |
Ω |
0.085155185354168 |
Real period |
R |
41.027437323443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82992e1 124488i1 |
Quadratic twists by: -4 -3 |