Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520ba |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
27709931520 = 218 · 36 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1548,-22032] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:9:1] [-24:36:1] |
Generators of the group modulo torsion |
j |
2146689/145 |
j-invariant |
L |
9.3094412317771 |
L(r)(E,1)/r! |
Ω |
0.76435902646061 |
Real period |
R |
3.0448522583229 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000241 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520ej1 1305g1 9280i1 |
Quadratic twists by: -4 8 -3 |