Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800db |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
4866048000000 = 220 · 33 · 56 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8833,298463] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:600:1] |
Generators of the group modulo torsion |
j |
18609625/1188 |
j-invariant |
L |
6.9988948451428 |
L(r)(E,1)/r! |
Ω |
0.75618735260415 |
Real period |
R |
1.5425839511447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800eg1 1650m1 2112e1 |
Quadratic twists by: -4 8 5 |