Atkin-Lehner |
2- 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190bz |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-51202789872000 = -1 · 27 · 3 · 53 · 137 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 1 13+ 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5320,-307975] |
[a1,a2,a3,a4,a6] |
Generators |
[83:-887:1] |
Generators of the group modulo torsion |
j |
3449795831/10608000 |
j-invariant |
L |
9.5330500068617 |
L(r)(E,1)/r! |
Ω |
0.32377694564997 |
Real period |
R |
0.70103008962246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6630b1 |
Quadratic twists by: 13 |