Atkin-Lehner |
2- 3- 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
65142x |
Isogeny class |
Conductor |
65142 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-208020814848 = -1 · 210 · 36 · 72 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,394,21637] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:107:1] [-11:131:1] |
Generators of the group modulo torsion |
j |
9300746727/285350912 |
j-invariant |
L |
13.655778261524 |
L(r)(E,1)/r! |
Ω |
0.75407158329329 |
Real period |
R |
0.45273481205495 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7238b1 |
Quadratic twists by: -3 |