Atkin-Lehner |
2- 5- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
14630z |
Isogeny class |
Conductor |
14630 |
Conductor |
∏ cp |
500 |
Product of Tamagawa factors cp |
deg |
64000 |
Modular degree for the optimal curve |
Δ |
-123645737600000 = -1 · 210 · 55 · 75 · 112 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- -6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-45100,3706317] |
[a1,a2,a3,a4,a6] |
Generators |
[-213:2031:1] |
Generators of the group modulo torsion |
j |
-10145044108875614401/123645737600000 |
j-invariant |
L |
6.3524329000753 |
L(r)(E,1)/r! |
Ω |
0.5900149523433 |
Real period |
R |
0.53832812836742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
117040bx1 73150e1 102410bw1 |
Quadratic twists by: -4 5 -7 |