Atkin-Lehner |
2+ 7- 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17066c |
Isogeny class |
Conductor |
17066 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1400000 |
Modular degree for the optimal curve |
Δ |
-5.4196128515464E+22 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 3 4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,930097,11195070061] |
[a1,a2,a3,a4,a6] |
Generators |
[-1506:80609:1] |
Generators of the group modulo torsion |
j |
88983232879403987428023/54196128515464471180288 |
j-invariant |
L |
3.4579796288275 |
L(r)(E,1)/r! |
Ω |
0.087237774886187 |
Real period |
R |
3.9638558334837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119462f1 |
Quadratic twists by: -7 |