Atkin-Lehner |
5- 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
11845b |
Isogeny class |
Conductor |
11845 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1896 |
Modular degree for the optimal curve |
Δ |
-296125 = -1 · 53 · 23 · 103 |
Discriminant |
Eigenvalues |
1 2 5- 2 -4 2 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-72,209] |
[a1,a2,a3,a4,a6] |
Generators |
[8:11:1] |
Generators of the group modulo torsion |
j |
-42180533641/296125 |
j-invariant |
L |
8.3939144715097 |
L(r)(E,1)/r! |
Ω |
3.0898802068322 |
Real period |
R |
0.90552749725265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106605a1 59225b1 |
Quadratic twists by: -3 5 |