Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800dq |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18624 |
Modular degree for the optimal curve |
Δ |
-68800 = -1 · 26 · 52 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -3 -5 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-603,5503] |
[a1,a2,a3,a4,a6] |
Generators |
[14:1:1] |
Generators of the group modulo torsion |
j |
-15180136960/43 |
j-invariant |
L |
1.878923670569 |
L(r)(E,1)/r! |
Ω |
3.0175240301008 |
Real period |
R |
0.62267065701248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800cx1 34400x1 68800ea1 |
Quadratic twists by: -4 8 5 |