Atkin-Lehner |
3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11385o |
Isogeny class |
Conductor |
11385 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
31360 |
Modular degree for the optimal curve |
Δ |
-3501421171875 = -1 · 311 · 57 · 11 · 23 |
Discriminant |
Eigenvalues |
2 3- 5- 4 11+ 1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3363,-49703] |
[a1,a2,a3,a4,a6] |
j |
5770012921856/4803046875 |
j-invariant |
L |
6.1245180166992 |
L(r)(E,1)/r! |
Ω |
0.43746557262137 |
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 |
3795a1 56925p1 125235ca1 |
Quadratic twists by: -3 5 -11 |