Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
121680fq |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-2.7890903100064E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1557933,-8000129774] |
[a1,a2,a3,a4,a6] |
Generators |
[1817:28800:1] |
Generators of the group modulo torsion |
j |
63745936931123/4251528000000 |
j-invariant |
L |
5.2041168773962 |
L(r)(E,1)/r! |
Ω |
0.056434277460431 |
Real period |
R |
1.921156886182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15210x2 40560cn2 121680ei2 |
Quadratic twists by: -4 -3 13 |