Atkin-Lehner |
2+ 7+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
8162a |
Isogeny class |
Conductor |
8162 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-687462515052544 = -1 · 212 · 7 · 115 · 533 |
Discriminant |
Eigenvalues |
2+ 0 -1 7+ 11+ -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,21175,424589] |
[a1,a2,a3,a4,a6] |
Generators |
[322:6207:1] |
Generators of the group modulo torsion |
j |
1049983398329064471/687462515052544 |
j-invariant |
L |
2.5095085534609 |
L(r)(E,1)/r! |
Ω |
0.31882711532776 |
Real period |
R |
3.9355318804692 |
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 |
65296z1 73458bb1 57134b1 89782be1 |
Quadratic twists by: -4 -3 -7 -11 |