Atkin-Lehner |
2- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
34138h |
Isogeny class |
Conductor |
34138 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-2.7539805882844E+19 |
Discriminant |
Eigenvalues |
2- -2 0 1 0 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1465318,-728039196] |
[a1,a2,a3,a4,a6] |
j |
-72087384799131625/5705592635392 |
j-invariant |
L |
2.0489983175792 |
L(r)(E,1)/r! |
Ω |
0.068299943919511 |
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 |
2626c2 |
Quadratic twists by: 13 |