Atkin-Lehner |
3- 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
86925k |
Isogeny class |
Conductor |
86925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
139351640625 = 34 · 57 · 192 · 61 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -2 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13026,570823] |
[a1,a2,a3,a4,a6] |
Generators |
[71:36:1] |
Generators of the group modulo torsion |
j |
15641881075729/8918505 |
j-invariant |
L |
9.4515430753975 |
L(r)(E,1)/r! |
Ω |
1.0225894893894 |
Real period |
R |
2.3106884947994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003447 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17385d1 |
Quadratic twists by: 5 |