Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360fz |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-18491175687600 = -1 · 24 · 36 · 52 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6599,-13210] |
[a1,a2,a3,a4,a6] |
j |
16880451584/9823275 |
j-invariant |
L |
2.4433382533709 |
L(r)(E,1)/r! |
Ω |
0.40722299507375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32340e1 18480cg1 |
Quadratic twists by: -4 -7 |