Atkin-Lehner |
2- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520bm |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
412160000 = 212 · 54 · 7 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-281,-1625] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:16:1] [-9:16:1] |
Generators of the group modulo torsion |
j |
601211584/100625 |
j-invariant |
L |
6.2110080303504 |
L(r)(E,1)/r! |
Ω |
1.1789864127177 |
Real period |
R |
2.6340456358761 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520bx1 25760j1 |
Quadratic twists by: -4 8 |