Atkin-Lehner |
2- 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16324f |
Isogeny class |
Conductor |
16324 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
285120 |
Modular degree for the optimal curve |
Δ |
-270364807419128576 = -1 · 28 · 710 · 113 · 532 |
Discriminant |
Eigenvalues |
2- -3 -3 7- 11+ -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33064,25123684] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:5194:1] |
Generators of the group modulo torsion |
j |
-15615285306974208/1056112528980971 |
j-invariant |
L |
2.1291354110563 |
L(r)(E,1)/r! |
Ω |
0.25568592642142 |
Real period |
R |
0.13878585607322 |
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 |
65296r1 114268c1 |
Quadratic twists by: -4 -7 |