Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86100bh |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-1367493151500000000 = -1 · 28 · 34 · 59 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 0 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,145467,52101063] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:5250:1] |
Generators of the group modulo torsion |
j |
85104824877056/341873287875 |
j-invariant |
L |
8.5675745523658 |
L(r)(E,1)/r! |
Ω |
0.19297337902837 |
Real period |
R |
0.13213601752528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17220c1 |
Quadratic twists by: 5 |