Atkin-Lehner |
3- 5+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
48645c |
Isogeny class |
Conductor |
48645 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-25875884433375 = -1 · 311 · 53 · 232 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 0 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2452,239622] |
[a1,a2,a3,a4,a6] |
j |
2237296892039/35495040375 |
j-invariant |
L |
0.99548496637423 |
L(r)(E,1)/r! |
Ω |
0.49774248305951 |
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 |
16215b1 |
Quadratic twists by: -3 |