Atkin-Lehner |
3+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
13467d |
Isogeny class |
Conductor |
13467 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53856 |
Modular degree for the optimal curve |
Δ |
-163639213343721 = -1 · 33 · 677 |
Discriminant |
Eigenvalues |
1 3+ 1 5 4 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4582,-628847] |
[a1,a2,a3,a4,a6] |
j |
-117649/1809 |
j-invariant |
L |
3.939424746658 |
L(r)(E,1)/r! |
Ω |
0.24621404666613 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40401n1 201b1 |
Quadratic twists by: -3 -67 |