Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
110880dp |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
532480 |
Modular degree for the optimal curve |
Δ |
-2210236875000000 = -1 · 26 · 38 · 510 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21657,-2573156] |
[a1,a2,a3,a4,a6] |
Generators |
[263:3150:1] |
Generators of the group modulo torsion |
j |
-24077483805376/47373046875 |
j-invariant |
L |
6.7014372271317 |
L(r)(E,1)/r! |
Ω |
0.18500790648002 |
Real period |
R |
0.90556092065362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110880bw1 36960o1 |
Quadratic twists by: -4 -3 |