Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
35490dr |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
Δ |
100920588504372000 = 25 · 314 · 53 · 74 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-248310,45085572] |
[a1,a2,a3,a4,a6] |
Generators |
[144:-3582:1] |
Generators of the group modulo torsion |
j |
770684091365988253/45935634276000 |
j-invariant |
L |
10.609528192576 |
L(r)(E,1)/r! |
Ω |
0.33077779462668 |
Real period |
R |
0.15273565409313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470bo2 35490bj2 |
Quadratic twists by: -3 13 |