Atkin-Lehner |
3- 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
13833b |
Isogeny class |
Conductor |
13833 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18624 |
Modular degree for the optimal curve |
Δ |
-3361419 = -1 · 37 · 29 · 53 |
Discriminant |
Eigenvalues |
-2 3- 2 -1 -4 5 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12009,-506534] |
[a1,a2,a3,a4,a6] |
j |
-262734266478592/4611 |
j-invariant |
L |
0.9121218064101 |
L(r)(E,1)/r! |
Ω |
0.22803045160252 |
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 |
4611b1 |
Quadratic twists by: -3 |