Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
108192ce |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
15809021315136 = 26 · 34 · 78 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6582,-77400] |
[a1,a2,a3,a4,a6] |
Generators |
[500:11040:1] |
Generators of the group modulo torsion |
j |
4188852928/2099601 |
j-invariant |
L |
9.782715424764 |
L(r)(E,1)/r! |
Ω |
0.55846657382406 |
Real period |
R |
4.3792752680265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005822 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
108192bf1 15456l1 |
Quadratic twists by: -4 -7 |