Atkin-Lehner |
5- 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19565i |
Isogeny class |
Conductor |
19565 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
101261103125 = 55 · 73 · 133 · 43 |
Discriminant |
Eigenvalues |
-2 -2 5- 7- -6 13- -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2280,38256] |
[a1,a2,a3,a4,a6] |
Generators |
[1065:-34738:1] [-45:227:1] |
Generators of the group modulo torsion |
j |
1311350297890816/101261103125 |
j-invariant |
L |
3.0466657335706 |
L(r)(E,1)/r! |
Ω |
1.0395671750587 |
Real period |
R |
0.065126799491727 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97825g1 |
Quadratic twists by: 5 |