Atkin-Lehner |
2- 7- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16492c |
Isogeny class |
Conductor |
16492 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
69600 |
Modular degree for the optimal curve |
Δ |
-330262956206848 = -1 · 28 · 75 · 195 · 31 |
Discriminant |
Eigenvalues |
2- 0 -4 7- -4 -4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,568,874340] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:722:1] [-11:931:1] |
Generators of the group modulo torsion |
j |
79164186624/1290089672683 |
j-invariant |
L |
5.6329023687275 |
L(r)(E,1)/r! |
Ω |
0.42743523598108 |
Real period |
R |
0.17571168353493 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65968k1 115444f1 |
Quadratic twists by: -4 -7 |