Atkin-Lehner |
2+ 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200q |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11614464000 = 211 · 32 · 53 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-568,-368] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:60:1] |
Generators of the group modulo torsion |
j |
79303642/45369 |
j-invariant |
L |
6.1318773655387 |
L(r)(E,1)/r! |
Ω |
1.0596943011142 |
Real period |
R |
0.72330734412878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002153 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42600i2 85200bg2 |
Quadratic twists by: -4 5 |