Atkin-Lehner |
3- 5+ 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
39585i |
Isogeny class |
Conductor |
39585 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
536257069700625 = 36 · 54 · 72 · 134 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22631,-691680] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:625:1] [-107:766:1] |
Generators of the group modulo torsion |
j |
1281846864467555569/536257069700625 |
j-invariant |
L |
6.369108338278 |
L(r)(E,1)/r! |
Ω |
0.40398838047901 |
Real period |
R |
1.313797757155 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
118755j2 |
Quadratic twists by: -3 |