Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6370g |
Isogeny class |
Conductor |
6370 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-65574611375000 = -1 · 23 · 56 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -3 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2867,392869] |
[a1,a2,a3,a4,a6] |
Generators |
[83:816:1] |
Generators of the group modulo torsion |
j |
-22164361129/557375000 |
j-invariant |
L |
2.4217496641048 |
L(r)(E,1)/r! |
Ω |
0.5191388805014 |
Real period |
R |
0.19437233425266 |
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 |
50960bo2 57330dz2 31850by2 910b2 |
Quadratic twists by: -4 -3 5 -7 |