Atkin-Lehner |
2+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75088k |
Isogeny class |
Conductor |
75088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-124946432 = -1 · 211 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ -1 0 2 5 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32,-544] |
[a1,a2,a3,a4,a6] |
Generators |
[10:26:1] |
Generators of the group modulo torsion |
j |
4750/169 |
j-invariant |
L |
5.5484708716997 |
L(r)(E,1)/r! |
Ω |
0.89368655537685 |
Real period |
R |
0.77606500279315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37544l1 75088b1 |
Quadratic twists by: -4 -19 |