Atkin-Lehner |
2- 3- 19- 101- |
Signs for the Atkin-Lehner involutions |
Class |
69084c |
Isogeny class |
Conductor |
69084 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
3956522798216448 = 28 · 37 · 193 · 1013 |
Discriminant |
Eigenvalues |
2- 3- 0 2 3 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39720,-353756] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:1615:1] |
Generators of the group modulo torsion |
j |
37135043584000/21200503677 |
j-invariant |
L |
7.686913090642 |
L(r)(E,1)/r! |
Ω |
0.36610029321703 |
Real period |
R |
3.4994568581196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993422 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
23028b2 |
Quadratic twists by: -3 |