Atkin-Lehner |
2- 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
9306j |
Isogeny class |
Conductor |
9306 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-48356879472 = -1 · 24 · 312 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3- 4 0 11+ -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,742,-7351] |
[a1,a2,a3,a4,a6] |
j |
62052103079/66333168 |
j-invariant |
L |
4.893744535701 |
L(r)(E,1)/r! |
Ω |
0.61171806696262 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74448bq1 3102g1 102366v1 |
Quadratic twists by: -4 -3 -11 |