Atkin-Lehner |
2+ 3+ 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850f |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
54502500000000 = 28 · 3 · 510 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-43400,-3480000] |
[a1,a2,a3,a4,a6] |
Generators |
[-3075:2675:27] |
Generators of the group modulo torsion |
j |
578613430620289/3488160000 |
j-invariant |
L |
4.7202448729701 |
L(r)(E,1)/r! |
Ω |
0.3308898995033 |
Real period |
R |
3.5663259017664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916192 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770bb1 |
Quadratic twists by: 5 |