Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296da |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
549038850048 = 218 · 36 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 6 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34284,2443088] |
[a1,a2,a3,a4,a6] |
j |
23320116793/2873 |
j-invariant |
L |
3.5535561052558 |
L(r)(E,1)/r! |
Ω |
0.88838913597827 |
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 |
127296bb1 31824w1 14144be1 |
Quadratic twists by: -4 8 -3 |