Atkin-Lehner |
2+ 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232bk |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-17309376 = -1 · 26 · 36 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 3 -4 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,63,81] |
[a1,a2,a3,a4,a6] |
Generators |
[0:9:1] |
Generators of the group modulo torsion |
j |
425259008/270459 |
j-invariant |
L |
5.5991796604869 |
L(r)(E,1)/r! |
Ω |
1.3621927188096 |
Real period |
R |
0.68506944515942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71232cs1 1113c1 |
Quadratic twists by: -4 8 |