Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27200cp |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-71303168000 = -1 · 225 · 53 · 17 |
Discriminant |
Eigenvalues |
2- -1 5- 0 -6 3 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1153,-19423] |
[a1,a2,a3,a4,a6] |
Generators |
[53:256:1] |
Generators of the group modulo torsion |
j |
-5177717/2176 |
j-invariant |
L |
3.2271694241833 |
L(r)(E,1)/r! |
Ω |
0.40136931501784 |
Real period |
R |
1.0050498703544 |
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 |
27200bc1 6800u1 27200cr1 |
Quadratic twists by: -4 8 5 |