Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360fo |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2.7224854736809E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25864960,50638921600] |
[a1,a2,a3,a4,a6] |
Generators |
[-443:249018:1] |
Generators of the group modulo torsion |
j |
3971101377248209009/56495958750 |
j-invariant |
L |
6.2249959370412 |
L(r)(E,1)/r! |
Ω |
0.19251088940969 |
Real period |
R |
2.0209882196388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000164907 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16170cf3 18480ct3 |
Quadratic twists by: -4 -7 |