Atkin-Lehner |
3- 11- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
86229j |
Isogeny class |
Conductor |
86229 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
62860941 = 38 · 11 · 13 · 67 |
Discriminant |
Eigenvalues |
2 3- -1 4 11- 13+ -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-543,4855] |
[a1,a2,a3,a4,a6] |
Generators |
[290:1445:8] |
Generators of the group modulo torsion |
j |
24288219136/86229 |
j-invariant |
L |
15.003394522801 |
L(r)(E,1)/r! |
Ω |
1.9752063460753 |
Real period |
R |
3.7979309213981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004665 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28743b1 |
Quadratic twists by: -3 |