Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800cn |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
2.90580293025E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55677033,-157806368937] |
[a1,a2,a3,a4,a6] |
Generators |
[-4113:40392:1] |
Generators of the group modulo torsion |
j |
298244193811346574784/4540317078515625 |
j-invariant |
L |
7.9020969537483 |
L(r)(E,1)/r! |
Ω |
0.05531986361087 |
Real period |
R |
2.9759115284122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52800b2 26400b1 10560g2 |
Quadratic twists by: -4 8 5 |