Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050n |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-1.3159321191844E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,582250,35146500] |
[a1,a2,a3,a4,a6] |
Generators |
[545:-22960:1] [-16:5090:1] |
Generators of the group modulo torsion |
j |
788632918919/475398000 |
j-invariant |
L |
6.9789033644733 |
L(r)(E,1)/r! |
Ω |
0.13742094839116 |
Real period |
R |
1.5870268158909 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989849 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410cy1 11550bs1 |
Quadratic twists by: 5 -11 |