Atkin-Lehner |
2- 3+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
123708b |
Isogeny class |
Conductor |
123708 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-41381121689856 = -1 · 28 · 32 · 136 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4676,282424] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:338:1] [18:610:1] |
Generators of the group modulo torsion |
j |
9148592/33489 |
j-invariant |
L |
8.1365630237385 |
L(r)(E,1)/r! |
Ω |
0.45759849049036 |
Real period |
R |
1.48175077719 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999958679 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
732a2 |
Quadratic twists by: 13 |