Atkin-Lehner |
2- 3+ 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850bm |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
29843388900000000 = 28 · 35 · 58 · 134 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-158588,-22909219] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:467:1] |
Generators of the group modulo torsion |
j |
28230256467282169/1909976889600 |
j-invariant |
L |
9.511586035044 |
L(r)(E,1)/r! |
Ω |
0.24025681488992 |
Real period |
R |
2.4743278466874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958234 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770f1 |
Quadratic twists by: 5 |