Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25872cw |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-61466260956807168 = -1 · 215 · 32 · 76 · 116 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31768,-12136300] |
[a1,a2,a3,a4,a6] |
Generators |
[422:7056:1] |
Generators of the group modulo torsion |
j |
-7357983625/127552392 |
j-invariant |
L |
7.1268668129648 |
L(r)(E,1)/r! |
Ω |
0.15063612630822 |
Real period |
R |
1.9713251472355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3234b4 103488ff4 77616ex4 528g4 |
Quadratic twists by: -4 8 -3 -7 |