Atkin-Lehner |
2- 3+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168bz |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-954881851392 = -1 · 214 · 311 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 5 6 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2379,-15507] |
[a1,a2,a3,a4,a6] |
j |
90845732864/58281363 |
j-invariant |
L |
4.544434083976 |
L(r)(E,1)/r! |
Ω |
0.50493712099964 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63168bu1 15792bb1 |
Quadratic twists by: -4 8 |