Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
83496x |
Isogeny class |
Conductor |
83496 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.7681079491598E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5399424,-4386739680] |
[a1,a2,a3,a4,a6] |
Generators |
[-104508:567567:64] |
Generators of the group modulo torsion |
j |
72251671383620066/7338217575591 |
j-invariant |
L |
7.9180118714 |
L(r)(E,1)/r! |
Ω |
0.0996891696556 |
Real period |
R |
4.964187621471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992613 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11928g3 |
Quadratic twists by: -7 |