Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490do |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
192716382836250 = 2 · 33 · 54 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 5 13+ 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-33550,2266250] |
[a1,a2,a3,a4,a6] |
j |
5119826881/236250 |
j-invariant |
L |
6.7215297000518 |
L(r)(E,1)/r! |
Ω |
0.56012747500546 |
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 |
106470bl1 35490bi1 |
Quadratic twists by: -3 13 |