Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050k |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2.9553642176682E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- -5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-49687200,-134853838500] |
[a1,a2,a3,a4,a6] |
Generators |
[8276:140298:1] [50494:11204230:1] |
Generators of the group modulo torsion |
j |
-6480608299825/1411788 |
j-invariant |
L |
7.1619027310329 |
L(r)(E,1)/r! |
Ω |
0.028431694965894 |
Real period |
R |
62.974637487537 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999951118 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050jm2 127050gh2 |
Quadratic twists by: 5 -11 |