Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560ea |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-13176000 = -1 · 26 · 33 · 53 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 4 -4 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25,173] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:15:1] |
Generators of the group modulo torsion |
j |
-28094464/205875 |
j-invariant |
L |
8.6893066839135 |
L(r)(E,1)/r! |
Ω |
1.9242180747787 |
Real period |
R |
0.50175109207839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58560r1 14640r1 |
Quadratic twists by: -4 8 |