Atkin-Lehner |
2- 3+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744l |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-2469761114112 = -1 · 213 · 39 · 172 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 3 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,405,75546] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:136:1] [-33:162:1] |
Generators of the group modulo torsion |
j |
91125/30634 |
j-invariant |
L |
12.038187794288 |
L(r)(E,1)/r! |
Ω |
0.63187607912172 |
Real period |
R |
1.1907188164555 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000859 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16218l1 129744t1 |
Quadratic twists by: -4 -3 |