Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27200cg |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
16 |
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 |
[10:800:1] [-115:1075:1] |
Generators of the group modulo torsion |
j |
-116930169/170 |
j-invariant |
L |
5.4367463461236 |
L(r)(E,1)/r! |
Ω |
0.90387998846906 |
Real period |
R |
0.37593115343586 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27200p1 6800o1 5440z1 |
Quadratic twists by: -4 8 5 |