Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
25560l |
Isogeny class |
Conductor |
25560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-107327462400 = -1 · 210 · 310 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-867,18574] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:162:1] |
Generators of the group modulo torsion |
j |
-96550276/143775 |
j-invariant |
L |
6.1282972922454 |
L(r)(E,1)/r! |
Ω |
0.95064503605026 |
Real period |
R |
1.6116155504549 |
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 |
51120j1 8520g1 127800x1 |
Quadratic twists by: -4 -3 5 |