Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27200p |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-696320000000 = -1 · 219 · 57 · 17 |
Discriminant |
Eigenvalues |
2+ 3 5+ -2 4 -3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16300,-802000] |
[a1,a2,a3,a4,a6] |
Generators |
[9480:163700:27] |
Generators of the group modulo torsion |
j |
-116930169/170 |
j-invariant |
L |
9.3690920372331 |
L(r)(E,1)/r! |
Ω |
0.21124420725485 |
Real period |
R |
5.5439934655403 |
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 |
27200cg1 850j1 5440p1 |
Quadratic twists by: -4 8 5 |