Atkin-Lehner |
2+ 3+ 7- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
123354g |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1.7821049344204E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-660282,37504404] |
[a1,a2,a3,a4,a6] |
Generators |
[7007105:4854763683:857375] |
Generators of the group modulo torsion |
j |
1179094713607967290875/660038864600140256 |
j-invariant |
L |
5.4885487808845 |
L(r)(E,1)/r! |
Ω |
0.18883165286885 |
Real period |
R |
14.532915191216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999777065 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
123354bk4 |
Quadratic twists by: -3 |