Atkin-Lehner |
2+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
124384a |
Isogeny class |
Conductor |
124384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
76848359763968 = 212 · 138 · 23 |
Discriminant |
Eigenvalues |
2+ 0 0 -4 -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23660,1335776] |
[a1,a2,a3,a4,a6] |
Generators |
[130:676:1] |
Generators of the group modulo torsion |
j |
74088000/3887 |
j-invariant |
L |
2.5525215610119 |
L(r)(E,1)/r! |
Ω |
0.60328100007061 |
Real period |
R |
1.0577664558691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997636084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124384m2 9568i2 |
Quadratic twists by: -4 13 |