Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775ci |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-19747461825 = -1 · 311 · 52 · 73 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1933,33242] |
[a1,a2,a3,a4,a6] |
Generators |
[53:257:1] |
Generators of the group modulo torsion |
j |
-93153502255/2302911 |
j-invariant |
L |
4.5196809665457 |
L(r)(E,1)/r! |
Ω |
1.215888011511 |
Real period |
R |
0.16896296533037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999687 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47775bo1 47775t1 |
Quadratic twists by: 5 -7 |