Atkin-Lehner |
2- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
64900d |
Isogeny class |
Conductor |
64900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
526501250000 = 24 · 57 · 112 · 592 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11+ -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5533,152688] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:550:1] |
Generators of the group modulo torsion |
j |
74945265664/2106005 |
j-invariant |
L |
3.4381559697211 |
L(r)(E,1)/r! |
Ω |
0.92296464414855 |
Real period |
R |
1.862561037323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990855 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12980b1 |
Quadratic twists by: 5 |