Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992cc |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.5886871205251E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5148876,-4067544976] |
[a1,a2,a3,a4,a6] |
Generators |
[3022:89280:1] |
Generators of the group modulo torsion |
j |
78993900837812017/8313251597532 |
j-invariant |
L |
3.6605379726693 |
L(r)(E,1)/r! |
Ω |
0.10090605120511 |
Real period |
R |
2.2672934028369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999601437 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992ga4 3906g3 41664j4 |
Quadratic twists by: -4 8 -3 |