Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13300p |
Isogeny class |
Conductor |
13300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
1330000 = 24 · 54 · 7 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 3 -5 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-38] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:5:1] |
Generators of the group modulo torsion |
j |
409600/133 |
j-invariant |
L |
3.3964863084467 |
L(r)(E,1)/r! |
Ω |
2.0382435135277 |
Real period |
R |
0.18515322879749 |
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 |
53200dy1 119700bs1 13300i1 93100bv1 |
Quadratic twists by: -4 -3 5 -7 |