Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200bx |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
19847025000000 = 26 · 38 · 58 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6825,34000] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:500:1] |
Generators of the group modulo torsion |
j |
48228544/27225 |
j-invariant |
L |
4.470976623129 |
L(r)(E,1)/r! |
Ω |
0.58998635159912 |
Real period |
R |
1.8945254463859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969344 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
79200bd1 26400by1 15840z1 |
Quadratic twists by: -4 -3 5 |