Atkin-Lehner |
2- 3- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
99864q |
Isogeny class |
Conductor |
99864 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3231193192704 = 28 · 38 · 192 · 732 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16671,823970] |
[a1,a2,a3,a4,a6] |
Generators |
[22:684:1] |
Generators of the group modulo torsion |
j |
2745624699088/17313921 |
j-invariant |
L |
6.4062438164033 |
L(r)(E,1)/r! |
Ω |
0.80068726717021 |
Real period |
R |
2.0002328284931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999809594 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33288e2 |
Quadratic twists by: -3 |