Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680cx |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
69874661967264000 = 28 · 314 · 53 · 73 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-367796,-85029120] |
[a1,a2,a3,a4,a6] |
Generators |
[-374:594:1] |
Generators of the group modulo torsion |
j |
62663090868014128/795766467375 |
j-invariant |
L |
7.8621533173855 |
L(r)(E,1)/r! |
Ω |
0.19401321306516 |
Real period |
R |
0.48242623180979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360n1 64680cf1 |
Quadratic twists by: -4 -7 |