Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360ge |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-4909064715878400 = -1 · 214 · 33 · 52 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15664,-3280236] |
[a1,a2,a3,a4,a6] |
j |
2571353/29700 |
j-invariant |
L |
2.5524239855781 |
L(r)(E,1)/r! |
Ω |
0.21270204359446 |
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 |
16170bm1 129360fc1 |
Quadratic twists by: -4 -7 |