Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13104bj |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-915812352 = -1 · 212 · 33 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,165,-1206] |
[a1,a2,a3,a4,a6] |
Generators |
[13:56:1] |
Generators of the group modulo torsion |
j |
4492125/8281 |
j-invariant |
L |
4.9125941407251 |
L(r)(E,1)/r! |
Ω |
0.82357421115346 |
Real period |
R |
0.74562104941411 |
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 |
819b2 52416ek2 13104bk2 91728ct2 |
Quadratic twists by: -4 8 -3 -7 |