Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490dp |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
2247843889402020 = 22 · 39 · 5 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2424055,1452448997] |
[a1,a2,a3,a4,a6] |
j |
326355561310674169/465699780 |
j-invariant |
L |
7.0599046531105 |
L(r)(E,1)/r! |
Ω |
0.39221692517328 |
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 |
106470bn1 2730p1 |
Quadratic twists by: -3 13 |