Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13104bf |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
19838065508352 = 216 · 39 · 7 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-137835,19695258] |
[a1,a2,a3,a4,a6] |
Generators |
[186:702:1] |
Generators of the group modulo torsion |
j |
3592121380875/246064 |
j-invariant |
L |
4.7074117593223 |
L(r)(E,1)/r! |
Ω |
0.65053382238831 |
Real period |
R |
1.2060381790347 |
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 |
1638m3 52416do3 13104bg1 91728ch3 |
Quadratic twists by: -4 8 -3 -7 |