Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50960u |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1240012638126080 = -1 · 220 · 5 · 72 · 136 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12331216,-16671093356] |
[a1,a2,a3,a4,a6] |
Generators |
[12866566176555781156194732:3640860073365978232636788662:160375690593765270441] |
Generators of the group modulo torsion |
j |
-1033202467754104941601/6178315520 |
j-invariant |
L |
6.089616999983 |
L(r)(E,1)/r! |
Ω |
0.040282654330631 |
Real period |
R |
37.793047039557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370n2 50960bj2 |
Quadratic twists by: -4 -7 |