Atkin-Lehner |
5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79475c |
Isogeny class |
Conductor |
79475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-1763173985546875 = -1 · 58 · 11 · 177 |
Discriminant |
Eigenvalues |
0 -2 5+ 3 11+ 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9633,-2055981] |
[a1,a2,a3,a4,a6] |
Generators |
[249:3323:1] |
Generators of the group modulo torsion |
j |
-262144/4675 |
j-invariant |
L |
3.7051405441916 |
L(r)(E,1)/r! |
Ω |
0.20264184481641 |
Real period |
R |
2.2855228576159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15895f1 4675k1 |
Quadratic twists by: 5 17 |