Atkin-Lehner |
2- 3+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168bv |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-84897792 = -1 · 212 · 32 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7,441] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:16:1] [0:21:1] |
Generators of the group modulo torsion |
j |
8000/20727 |
j-invariant |
L |
8.3575280064938 |
L(r)(E,1)/r! |
Ω |
1.5054766015119 |
Real period |
R |
1.3878541848674 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168dn1 31584t1 |
Quadratic twists by: -4 8 |