Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
129888bn |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1856081075904 = -1 · 26 · 312 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 11- 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2067,-54664] |
[a1,a2,a3,a4,a6] |
Generators |
[31:198:1] |
Generators of the group modulo torsion |
j |
20933297216/39782259 |
j-invariant |
L |
6.0218272425027 |
L(r)(E,1)/r! |
Ω |
0.43598884605742 |
Real period |
R |
1.1509903237598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998763684 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129888x1 43296a1 |
Quadratic twists by: -4 -3 |