Atkin-Lehner |
2- 31+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
6572d |
Isogeny class |
Conductor |
6572 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
71232 |
Modular degree for the optimal curve |
Δ |
-11572025595999488 = -1 · 28 · 318 · 53 |
Discriminant |
Eigenvalues |
2- 3 -2 -2 -6 1 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24929,4948934] |
[a1,a2,a3,a4,a6] |
Generators |
[38646:1847042:729] |
Generators of the group modulo torsion |
j |
6692653173782448/45203224984373 |
j-invariant |
L |
5.5938003611013 |
L(r)(E,1)/r! |
Ω |
0.29250238101568 |
Real period |
R |
3.1873246875675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26288k1 105152d1 59148d1 |
Quadratic twists by: -4 8 -3 |