Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
101136cx |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
304 |
Product of Tamagawa factors cp |
deg |
5253120 |
Modular degree for the optimal curve |
Δ |
5.3947149449502E+21 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 6 -1 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5035256,-2536487724] |
[a1,a2,a3,a4,a6] |
Generators |
[-1370:42336:1] |
Generators of the group modulo torsion |
j |
29298155334152041/11194902450144 |
j-invariant |
L |
8.9689558107873 |
L(r)(E,1)/r! |
Ω |
0.10408487625963 |
Real period |
R |
0.28345274734511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12642e1 14448o1 |
Quadratic twists by: -4 -7 |