Atkin-Lehner |
2- 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10062g |
Isogeny class |
Conductor |
10062 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
4333145808715776 = 214 · 39 · 132 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 4 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59699,4650643] |
[a1,a2,a3,a4,a6] |
j |
1195437207446091/220146614272 |
j-invariant |
L |
5.8188800159694 |
L(r)(E,1)/r! |
Ω |
0.41563428685496 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80496y1 10062b1 |
Quadratic twists by: -4 -3 |