Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470bl |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1677312 |
Modular degree for the optimal curve |
Δ |
140490243087626250 = 2 · 39 · 54 · 7 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -5 13+ -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-301950,-61188750] |
[a1,a2,a3,a4,a6] |
j |
5119826881/236250 |
j-invariant |
L |
0.81698643190452 |
L(r)(E,1)/r! |
Ω |
0.20424662372655 |
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 |
35490do1 106470gg1 |
Quadratic twists by: -3 13 |