Atkin-Lehner |
2+ 5- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
15470i |
Isogeny class |
Conductor |
15470 |
Conductor |
∏ cp |
1920 |
Product of Tamagawa factors cp |
Δ |
-4.4232486261802E+26 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -2 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-266323997,1954987971581] |
[a1,a2,a3,a4,a6] |
Generators |
[-6758:1859779:1] |
Generators of the group modulo torsion |
j |
-2089077804858991415688309930841/442324862618024158864000000 |
j-invariant |
L |
5.5697684204625 |
L(r)(E,1)/r! |
Ω |
0.050578375309436 |
Real period |
R |
0.22941986843797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123760bn2 77350x2 108290f2 |
Quadratic twists by: -4 5 -7 |