Atkin-Lehner |
2- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
73696f |
Isogeny class |
Conductor |
73696 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-57777664 = -1 · 29 · 74 · 47 |
Discriminant |
Eigenvalues |
2- -2 -1 7+ 5 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,-372] |
[a1,a2,a3,a4,a6] |
j |
-392/47 |
j-invariant |
L |
0.87842787635465 |
L(r)(E,1)/r! |
Ω |
0.87842787495052 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73696g1 73696p1 |
Quadratic twists by: -4 -7 |