Atkin-Lehner |
2- 3+ 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920bl |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-4093440000 = -1 · 212 · 3 · 54 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,400,0] |
[a1,a2,a3,a4,a6] |
Generators |
[1:20:1] [10:70:1] |
Generators of the group modulo torsion |
j |
1723683599/999375 |
j-invariant |
L |
11.263507510147 |
L(r)(E,1)/r! |
Ω |
0.83396937812338 |
Real period |
R |
3.376475147331 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999952695 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7995j1 |
Quadratic twists by: -4 |