Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650cz |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
181913976562500 = 22 · 39 · 59 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-359888,-83127108] |
[a1,a2,a3,a4,a6] |
j |
2639343078571373/93139956 |
j-invariant |
L |
3.5085779654148 |
L(r)(E,1)/r! |
Ω |
0.1949209980786 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200ew1 40950ca1 13650v1 95550il1 |
Quadratic twists by: -4 -3 5 -7 |