Atkin-Lehner |
2- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
96320bs |
Isogeny class |
Conductor |
96320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-46686713937920000 = -1 · 227 · 54 · 7 · 433 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -3 -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,75775,6629375] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2560:1] [65:3440:1] |
Generators of the group modulo torsion |
j |
183550636104191/178095680000 |
j-invariant |
L |
13.096495523912 |
L(r)(E,1)/r! |
Ω |
0.23556456666784 |
Real period |
R |
1.1582542341374 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96320ba1 24080f1 |
Quadratic twists by: -4 8 |