Atkin-Lehner |
2- 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
5810c |
Isogeny class |
Conductor |
5810 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-4359315625000 = -1 · 23 · 58 · 75 · 83 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -3 -2 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,24,100456] |
[a1,a2,a3,a4,a6] |
Generators |
[66:592:1] |
Generators of the group modulo torsion |
j |
1524845951/4359315625000 |
j-invariant |
L |
3.5722844570471 |
L(r)(E,1)/r! |
Ω |
0.61626882463914 |
Real period |
R |
0.96610556795537 |
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 |
46480p1 52290bh1 29050e1 40670y1 |
Quadratic twists by: -4 -3 5 -7 |