Atkin-Lehner |
3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47025k |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40800 |
Modular degree for the optimal curve |
Δ |
-2204296875 = -1 · 33 · 58 · 11 · 19 |
Discriminant |
Eigenvalues |
-2 3+ 5- 4 11- -3 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-375,-3594] |
[a1,a2,a3,a4,a6] |
Generators |
[41:223:1] |
Generators of the group modulo torsion |
j |
-552960/209 |
j-invariant |
L |
3.6388778809941 |
L(r)(E,1)/r! |
Ω |
0.53243862229644 |
Real period |
R |
3.4171806182272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999455 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47025i1 47025f1 |
Quadratic twists by: -3 5 |