Atkin-Lehner |
2- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
56800k |
Isogeny class |
Conductor |
56800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
568000000 = 29 · 56 · 71 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 -4 -5 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,88] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:34:1] [18:50:1] |
Generators of the group modulo torsion |
j |
125000/71 |
j-invariant |
L |
10.209801302442 |
L(r)(E,1)/r! |
Ω |
1.4070463950491 |
Real period |
R |
1.8140484454469 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56800e1 113600g1 2272a1 |
Quadratic twists by: -4 8 5 |