Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13104bg |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1472477477732352 = 224 · 39 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30915,984258] |
[a1,a2,a3,a4,a6] |
Generators |
[-1086:13095:8] |
Generators of the group modulo torsion |
j |
40530337875/18264064 |
j-invariant |
L |
4.5255724556905 |
L(r)(E,1)/r! |
Ω |
0.42916281910936 |
Real period |
R |
5.272558868313 |
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 |
1638c3 52416dp3 13104bf1 91728cg3 |
Quadratic twists by: -4 8 -3 -7 |