Atkin-Lehner |
2- 3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
112554u |
Isogeny class |
Conductor |
112554 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
62392900572647424 = 212 · 38 · 137 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-112586,8213001] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:4629:1] |
Generators of the group modulo torsion |
j |
44852393377/17731584 |
j-invariant |
L |
8.6199024676275 |
L(r)(E,1)/r! |
Ω |
0.31815539910547 |
Real period |
R |
0.56444524318971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999882338 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37518b1 8658a1 |
Quadratic twists by: -3 13 |