Atkin-Lehner |
2- 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
18126t |
Isogeny class |
Conductor |
18126 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-9.2299465919498E+18 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-491711,-197306265] |
[a1,a2,a3,a4,a6] |
Generators |
[1235:32214:1] |
Generators of the group modulo torsion |
j |
-18035372956865677993/12661106436145152 |
j-invariant |
L |
6.8591477977611 |
L(r)(E,1)/r! |
Ω |
0.087434473964824 |
Real period |
R |
1.6343543452991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6042c1 |
Quadratic twists by: -3 |