Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
108192ce |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
63628855976448 = 29 · 38 · 77 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85472,-9638868] |
[a1,a2,a3,a4,a6] |
Generators |
[14529:270640:27] |
Generators of the group modulo torsion |
j |
1146415874696/1056321 |
j-invariant |
L |
9.782715424764 |
L(r)(E,1)/r! |
Ω |
0.27923328691203 |
Real period |
R |
8.7585505360531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005822 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108192bf4 15456l3 |
Quadratic twists by: -4 -7 |