Atkin-Lehner |
2- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
69776v |
Isogeny class |
Conductor |
69776 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.0341304358245E+21 |
Discriminant |
Eigenvalues |
2- -2 4 7- 0 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7657736,7711297012] |
[a1,a2,a3,a4,a6] |
Generators |
[36321505260:-265805488102:18609625] |
Generators of the group modulo torsion |
j |
103056823169347321/6296309368832 |
j-invariant |
L |
5.9209669548237 |
L(r)(E,1)/r! |
Ω |
0.14000304969567 |
Real period |
R |
10.57292496113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996235 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8722g2 9968i2 |
Quadratic twists by: -4 -7 |