Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912bk |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.2348740633445E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6865504,-4397332736] |
[a1,a2,a3,a4,a6] |
Generators |
[19985520:-17194449664:27] |
Generators of the group modulo torsion |
j |
74266483535212753/25625625854976 |
j-invariant |
L |
4.0845405264029 |
L(r)(E,1)/r! |
Ω |
0.095892559799367 |
Real period |
R |
10.648742029108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979082 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9114ba2 10416bo2 |
Quadratic twists by: -4 -7 |