Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775q |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
446535501905390625 = 35 · 57 · 77 · 134 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-286063,49220156] |
[a1,a2,a3,a4,a6] |
Generators |
[-575:5187:1] |
Generators of the group modulo torsion |
j |
1408317602329/242911305 |
j-invariant |
L |
3.2056999809839 |
L(r)(E,1)/r! |
Ω |
0.28322026729081 |
Real period |
R |
2.8296880124895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999889 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9555u1 6825j1 |
Quadratic twists by: 5 -7 |