Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
90160df |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
807833600 = 212 · 52 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 6 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-240,512] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] |
Generators of the group modulo torsion |
j |
1092727/575 |
j-invariant |
L |
11.342753711125 |
L(r)(E,1)/r! |
Ω |
1.3954240159401 |
Real period |
R |
2.0321338847921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5635e1 90160cf1 |
Quadratic twists by: -4 -7 |