Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800bi |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
108881920000000 = 217 · 57 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ 1 1 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49675,-4231750] |
[a1,a2,a3,a4,a6] |
Generators |
[-3705:800:27] |
Generators of the group modulo torsion |
j |
211815318681/1701280 |
j-invariant |
L |
12.048516871887 |
L(r)(E,1)/r! |
Ω |
0.31994509071836 |
Real period |
R |
2.3536298147986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850z1 17360bn1 |
Quadratic twists by: -4 5 |