Atkin-Lehner |
2- 3+ 7- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354bk |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
Δ |
86905620224704512 = 215 · 33 · 7 · 116 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3677420,2715213935] |
[a1,a2,a3,a4,a6] |
j |
203699300824184115175875/3218726674989056 |
j-invariant |
L |
3.1168581683418 |
L(r)(E,1)/r! |
Ω |
0.31168577730082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
123354g4 |
Quadratic twists by: -3 |