Atkin-Lehner |
2+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13376c |
Isogeny class |
Conductor |
13376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-33120300224 = -1 · 26 · 11 · 196 |
Discriminant |
Eigenvalues |
2+ -1 3 -4 11+ -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,771,-3233] |
[a1,a2,a3,a4,a6] |
Generators |
[1582:6859:343] |
Generators of the group modulo torsion |
j |
790939860992/517504691 |
j-invariant |
L |
3.7756118363344 |
L(r)(E,1)/r! |
Ω |
0.6656922072355 |
Real period |
R |
2.8358540142853 |
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 |
13376t2 209a2 120384bn2 |
Quadratic twists by: -4 8 -3 |