Atkin-Lehner |
2+ 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129888g |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-3019431448034496 = -1 · 26 · 310 · 117 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 11+ 6 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-193449,32855524] |
[a1,a2,a3,a4,a6] |
j |
-17159936522661568/64716894891 |
j-invariant |
L |
1.8098082186181 |
L(r)(E,1)/r! |
Ω |
0.45245202251783 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129888bj1 43296bd1 |
Quadratic twists by: -4 -3 |