Atkin-Lehner |
2+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880bp |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
85606400 = 214 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 11- 2 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-305,1903] |
[a1,a2,a3,a4,a6] |
Generators |
[1:40:1] |
Generators of the group modulo torsion |
j |
192143824/5225 |
j-invariant |
L |
4.7504713650119 |
L(r)(E,1)/r! |
Ω |
1.910308879801 |
Real period |
R |
1.2433778157752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880de1 8360b1 |
Quadratic twists by: -4 8 |