Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11385p |
Isogeny class |
Conductor |
11385 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-370267421535 = -1 · 37 · 5 · 112 · 234 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1247,-33514] |
[a1,a2,a3,a4,a6] |
Generators |
[70:432:1] |
Generators of the group modulo torsion |
j |
-293946977449/507911415 |
j-invariant |
L |
2.536320557558 |
L(r)(E,1)/r! |
Ω |
0.37949788145945 |
Real period |
R |
3.3416794684122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3795g1 56925u1 125235bq1 |
Quadratic twists by: -3 5 -11 |