Atkin-Lehner |
2- 3- 7+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27258ba |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-794096056664064 = -1 · 221 · 35 · 74 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11+ -2 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1936,1356032] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:1184:1] |
Generators of the group modulo torsion |
j |
-802516169081089/794096056664064 |
j-invariant |
L |
9.0620307368141 |
L(r)(E,1)/r! |
Ω |
0.40632107098 |
Real period |
R |
0.10620302612927 |
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 |
81774r1 |
Quadratic twists by: -3 |