Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296cz |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
140553945612288 = 226 · 36 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31404,-2064688] |
[a1,a2,a3,a4,a6] |
j |
17923019113/735488 |
j-invariant |
L |
1.4381743791686 |
L(r)(E,1)/r! |
Ω |
0.35954357050712 |
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 |
127296z1 31824v1 14144bd1 |
Quadratic twists by: -4 8 -3 |