Atkin-Lehner |
3- 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
118041n |
Isogeny class |
Conductor |
118041 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
5287680 |
Modular degree for the optimal curve |
Δ |
-1.3189212136839E+19 |
Discriminant |
Eigenvalues |
-2 3- -1 7- 11- 2 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2777336,1789142912] |
[a1,a2,a3,a4,a6] |
Generators |
[-782:-59021:1] |
Generators of the group modulo torsion |
j |
-20138211563024060416/112106453406651 |
j-invariant |
L |
3.1315306902742 |
L(r)(E,1)/r! |
Ω |
0.22519262121711 |
Real period |
R |
0.064379673329637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999169433 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2409c1 |
Quadratic twists by: -7 |