Atkin-Lehner |
2- 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
59328bj |
Isogeny class |
Conductor |
59328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-4519011831917838336 = -1 · 222 · 321 · 103 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 6 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,187476,-97388336] |
[a1,a2,a3,a4,a6] |
Generators |
[1962:88448:1] |
Generators of the group modulo torsion |
j |
3813232609367/23646998736 |
j-invariant |
L |
4.8511073580059 |
L(r)(E,1)/r! |
Ω |
0.12241169999363 |
Real period |
R |
4.9536802425035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59328v1 14832k1 19776bd1 |
Quadratic twists by: -4 8 -3 |