Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168cn |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
944393942016 = 210 · 33 · 7 · 474 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3197,52605] |
[a1,a2,a3,a4,a6] |
Generators |
[46205:877136:125] |
Generators of the group modulo torsion |
j |
3530104010752/922259709 |
j-invariant |
L |
6.9954322979485 |
L(r)(E,1)/r! |
Ω |
0.82524658075306 |
Real period |
R |
8.4767782881492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997879 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168bd1 15792l1 |
Quadratic twists by: -4 8 |