Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27360w |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-177292800 = -1 · 29 · 36 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 0 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,2738] |
[a1,a2,a3,a4,a6] |
Generators |
[14:20:1] |
Generators of the group modulo torsion |
j |
-14172488/475 |
j-invariant |
L |
6.1947560435551 |
L(r)(E,1)/r! |
Ω |
1.7943222608149 |
Real period |
R |
1.7262105528194 |
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 |
27360z1 54720fb1 3040a1 |
Quadratic twists by: -4 8 -3 |