Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13104bt |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-96710569353216 = -1 · 213 · 310 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6189,434450] |
[a1,a2,a3,a4,a6] |
Generators |
[31:810:1] |
Generators of the group modulo torsion |
j |
8780064047/32388174 |
j-invariant |
L |
3.4066572228306 |
L(r)(E,1)/r! |
Ω |
0.42647872214236 |
Real period |
R |
1.9969678708223 |
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 |
1638i4 52416fj3 4368o4 91728fo3 |
Quadratic twists by: -4 8 -3 -7 |