Atkin-Lehner |
2- 3+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
99864i |
Isogeny class |
Conductor |
99864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-831068208 = -1 · 24 · 33 · 192 · 732 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1386,19909] |
[a1,a2,a3,a4,a6] |
Generators |
[14:57:1] |
Generators of the group modulo torsion |
j |
-681600116736/1923769 |
j-invariant |
L |
3.7846018109085 |
L(r)(E,1)/r! |
Ω |
1.591243338793 |
Real period |
R |
0.59459822006523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999555052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99864b1 |
Quadratic twists by: -3 |