Atkin-Lehner |
2- 3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
11682q |
Isogeny class |
Conductor |
11682 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-80463620340576 = -1 · 25 · 37 · 117 · 59 |
Discriminant |
Eigenvalues |
2- 3- 1 4 11+ -6 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9212,-547297] |
[a1,a2,a3,a4,a6] |
j |
-118580635373689/110375336544 |
j-invariant |
L |
4.693451353322 |
L(r)(E,1)/r! |
Ω |
0.2346725676661 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93456bo1 3894f1 128502w1 |
Quadratic twists by: -4 -3 -11 |