Atkin-Lehner |
2- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19264q |
Isogeny class |
Conductor |
19264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
-848232448 = -1 · 216 · 7 · 432 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 4 4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-449,3775] |
[a1,a2,a3,a4,a6] |
Generators |
[7:32:1] |
Generators of the group modulo torsion |
j |
-153091012/12943 |
j-invariant |
L |
3.3013478281485 |
L(r)(E,1)/r! |
Ω |
1.5501138438891 |
Real period |
R |
1.0648726998869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19264j1 4816c1 |
Quadratic twists by: -4 8 |