Atkin-Lehner |
3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
13431g |
Isogeny class |
Conductor |
13431 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-58403051487 = -1 · 34 · 117 · 37 |
Discriminant |
Eigenvalues |
-1 3- 2 4 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,663,9648] |
[a1,a2,a3,a4,a6] |
j |
18191447/32967 |
j-invariant |
L |
3.0576477187549 |
L(r)(E,1)/r! |
Ω |
0.76441192968872 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40293k1 1221a1 |
Quadratic twists by: -3 -11 |