Atkin-Lehner |
3- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47025bi |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-37229696026875 = -1 · 37 · 54 · 11 · 195 |
Discriminant |
Eigenvalues |
-2 3- 5- 2 11+ 6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2175,290956] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:364:1] |
Generators of the group modulo torsion |
j |
2497433600/81711267 |
j-invariant |
L |
3.4864945238362 |
L(r)(E,1)/r! |
Ω |
0.48998214678871 |
Real period |
R |
3.5577771013535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15675o1 47025o2 |
Quadratic twists by: -3 5 |