Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600cj |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-335340000000 = -1 · 28 · 36 · 57 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1467,18063] |
[a1,a2,a3,a4,a6] |
Generators |
[3:150:1] |
Generators of the group modulo torsion |
j |
87228416/83835 |
j-invariant |
L |
7.0161518190784 |
L(r)(E,1)/r! |
Ω |
0.63150081223464 |
Real period |
R |
0.2314641988296 |
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 |
6900c1 110400fn1 82800dx1 5520o1 |
Quadratic twists by: -4 8 -3 5 |