Atkin-Lehner |
2- 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65450z |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-2250890950000000000 = -1 · 210 · 511 · 72 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-521563,161738281] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:15062:1] |
Generators of the group modulo torsion |
j |
-1004208891152884201/144057020800000 |
j-invariant |
L |
14.660431249438 |
L(r)(E,1)/r! |
Ω |
0.25099356450327 |
Real period |
R |
1.4602397553187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13090g1 |
Quadratic twists by: 5 |