Atkin-Lehner |
2+ 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350z |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-6505012800 = -1 · 26 · 37 · 52 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11+ 13+ -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-477,5701] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:83:1] [18:43:1] |
Generators of the group modulo torsion |
j |
-659361145/356928 |
j-invariant |
L |
6.9965517261999 |
L(r)(E,1)/r! |
Ω |
1.2416532709968 |
Real period |
R |
0.70435844386111 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21450bv1 64350fb1 |
Quadratic twists by: -3 5 |