Atkin-Lehner |
3- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
11817c |
Isogeny class |
Conductor |
11817 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5440 |
Modular degree for the optimal curve |
Δ |
-232594011 = -1 · 311 · 13 · 101 |
Discriminant |
Eigenvalues |
-2 3- -3 3 -2 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,51,720] |
[a1,a2,a3,a4,a6] |
Generators |
[8:40:1] |
Generators of the group modulo torsion |
j |
20123648/319059 |
j-invariant |
L |
2.0389958464763 |
L(r)(E,1)/r! |
Ω |
1.3107595227597 |
Real period |
R |
0.38889586744778 |
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 |
3939d1 |
Quadratic twists by: -3 |