Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880co |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
225280 |
Modular degree for the optimal curve |
Δ |
-22990000000000 = -1 · 210 · 510 · 112 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 11- 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1101,-231485] |
[a1,a2,a3,a4,a6] |
Generators |
[135948:722953:1728] |
Generators of the group modulo torsion |
j |
-144271353856/22451171875 |
j-invariant |
L |
5.1634258238644 |
L(r)(E,1)/r! |
Ω |
0.3008031220144 |
Real period |
R |
8.5827330999994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880h1 16720o1 |
Quadratic twists by: -4 8 |