Atkin-Lehner |
2- 3+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290bw |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
16873690176000000 = 212 · 33 · 56 · 76 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-103007,-11058361] |
[a1,a2,a3,a4,a6] |
j |
4476681653789081043/624951488000000 |
j-invariant |
L |
6.4551218614271 |
L(r)(E,1)/r! |
Ω |
0.26896341088122 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
52290d3 |
Quadratic twists by: -3 |