Atkin-Lehner |
2- 3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16770bc |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
968 |
Product of Tamagawa factors cp |
deg |
232320 |
Modular degree for the optimal curve |
Δ |
-446492305155686400 = -1 · 222 · 311 · 52 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-98796,34290576] |
[a1,a2,a3,a4,a6] |
Generators |
[-264:6612:1] |
Generators of the group modulo torsion |
j |
-106645386185043035329/446492305155686400 |
j-invariant |
L |
7.627203281149 |
L(r)(E,1)/r! |
Ω |
0.25880408857808 |
Real period |
R |
0.12178079992294 |
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 |
50310t1 83850g1 |
Quadratic twists by: -3 5 |