Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550cp |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-31960570950000000 = -1 · 27 · 34 · 58 · 72 · 115 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-785138,267845892] |
[a1,a2,a3,a4,a6] |
Generators |
[-548:23374:1] |
Generators of the group modulo torsion |
j |
-137025597360350785/81819061632 |
j-invariant |
L |
8.0459976573824 |
L(r)(E,1)/r! |
Ω |
0.36581598352629 |
Real period |
R |
0.026184117346126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92400fi1 34650bp1 11550h1 80850fe1 |
Quadratic twists by: -4 -3 5 -7 |