Atkin-Lehner |
2- 5- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
58520q |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1379974750000 = -1 · 24 · 56 · 74 · 112 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11- -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1275,58750] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:275:1] [-5:255:1] |
Generators of the group modulo torsion |
j |
-14337547257856/86248421875 |
j-invariant |
L |
7.4783004116401 |
L(r)(E,1)/r! |
Ω |
0.73792639818225 |
Real period |
R |
0.84451742410222 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040t1 |
Quadratic twists by: -4 |