Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
81356i |
Isogeny class |
Conductor |
81356 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3405600 |
Modular degree for the optimal curve |
Δ |
-1415300795214149888 = -1 · 28 · 11 · 439 |
Discriminant |
Eigenvalues |
2- 3 0 2 11- -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6758095,-6762388378] |
[a1,a2,a3,a4,a6] |
Generators |
[462729090618586909028658366390676369403905601521390499242473031707095277473191729458335277642:50883124786910580644210834962795946745507361859661268160436032732397295048453996286592116859257:36528774362963213931592815644384370758875866820267890548481150992439368192971298760986088] |
Generators of the group modulo torsion |
j |
-265302000/11 |
j-invariant |
L |
13.096445488168 |
L(r)(E,1)/r! |
Ω |
0.046817951297292 |
Real period |
R |
139.86564047844 |
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 |
81356j1 |
Quadratic twists by: -43 |