Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680c |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.4271260777518E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2721843,1718810658] |
[a1,a2,a3,a4,a6] |
Generators |
[-821:58310:1] |
Generators of the group modulo torsion |
j |
110642422367713932/708061682825 |
j-invariant |
L |
6.6294319613103 |
L(r)(E,1)/r! |
Ω |
0.22371898993982 |
Real period |
R |
0.61735110585238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001528 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840a2 85680g2 |
Quadratic twists by: -4 -3 |