Atkin-Lehner |
2+ 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168t |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-1358364672 = -1 · 216 · 32 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 0 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,-1887] |
[a1,a2,a3,a4,a6] |
j |
-7086244/20727 |
j-invariant |
L |
2.4792230370933 |
L(r)(E,1)/r! |
Ω |
0.61980575882378 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168de1 7896m1 |
Quadratic twists by: -4 8 |