Atkin-Lehner |
2- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
16576m |
Isogeny class |
Conductor |
16576 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-812224 = -1 · 26 · 73 · 37 |
Discriminant |
Eigenvalues |
2- -2 3 7+ -5 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,21,-17] |
[a1,a2,a3,a4,a6] |
Generators |
[6:19:1] |
Generators of the group modulo torsion |
j |
15252992/12691 |
j-invariant |
L |
3.4652352250003 |
L(r)(E,1)/r! |
Ω |
1.5625888496193 |
Real period |
R |
2.2176244415442 |
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 |
16576t1 8288h1 116032bq1 |
Quadratic twists by: -4 8 -7 |