Atkin-Lehner |
2+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800s |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-281804800 = -1 · 218 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 -3 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-193,-1377] |
[a1,a2,a3,a4,a6] |
Generators |
[77:668:1] |
Generators of the group modulo torsion |
j |
-121945/43 |
j-invariant |
L |
4.7278385709841 |
L(r)(E,1)/r! |
Ω |
0.6290120391187 |
Real period |
R |
3.7581463289076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993208 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800do1 1075c1 68800cm1 |
Quadratic twists by: -4 8 5 |