Atkin-Lehner |
2- 3+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
74382ba |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-1821042736128 = -1 · 210 · 34 · 73 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-288,64833] |
[a1,a2,a3,a4,a6] |
Generators |
[13:245:1] [-218:1953:8] |
Generators of the group modulo torsion |
j |
-7703734375/5309162496 |
j-invariant |
L |
13.162333495881 |
L(r)(E,1)/r! |
Ω |
0.67564246145097 |
Real period |
R |
0.48703028032522 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74382bp1 |
Quadratic twists by: -7 |