Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050hw |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
600 |
Product of Tamagawa factors cp |
deg |
11404800 |
Modular degree for the optimal curve |
Δ |
-5.5377339343239E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3917438,4660707492] |
[a1,a2,a3,a4,a6] |
Generators |
[1462:44644:1] |
Generators of the group modulo torsion |
j |
-1985037003961/1653372000 |
j-invariant |
L |
14.614600453331 |
L(r)(E,1)/r! |
Ω |
0.12405372503206 |
Real period |
R |
0.19634773062838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014852 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410o1 127050cu1 |
Quadratic twists by: 5 -11 |