Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760cm |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
307565980918658000 = 24 · 53 · 72 · 1112 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-300725,-57494248] |
[a1,a2,a3,a4,a6] |
Generators |
[-643668:2840005:1728] |
Generators of the group modulo torsion |
j |
106110329552896/10850811125 |
j-invariant |
L |
10.969410493377 |
L(r)(E,1)/r! |
Ω |
0.20521693131444 |
Real period |
R |
8.90879261484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16940f1 6160i1 |
Quadratic twists by: -4 -11 |