Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050cx |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
11151360 |
Modular degree for the optimal curve |
Δ |
-6.512375106765E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17543551,-28549647502] |
[a1,a2,a3,a4,a6] |
Generators |
[8722:689876:1] |
Generators of the group modulo torsion |
j |
-178284948703873/1944365472 |
j-invariant |
L |
5.1456449855572 |
L(r)(E,1)/r! |
Ω |
0.036860221813253 |
Real period |
R |
2.1151342630199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999824615 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5082v1 127050ia1 |
Quadratic twists by: 5 -11 |