Atkin-Lehner |
3- 5- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
48645k |
Isogeny class |
Conductor |
48645 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-531933075 = -1 · 39 · 52 · 23 · 47 |
Discriminant |
Eigenvalues |
2 3- 5- 2 0 -2 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,33,1107] |
[a1,a2,a3,a4,a6] |
j |
5451776/729675 |
j-invariant |
L |
5.064538060424 |
L(r)(E,1)/r! |
Ω |
1.2661345150111 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16215d1 |
Quadratic twists by: -3 |