Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200cf |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-16767000000 = -1 · 26 · 36 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,542,4088] |
[a1,a2,a3,a4,a6] |
Generators |
[2:72:1] |
Generators of the group modulo torsion |
j |
17576000/16767 |
j-invariant |
L |
7.5096306378092 |
L(r)(E,1)/r! |
Ω |
0.81001728240566 |
Real period |
R |
1.5451585212865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55200i1 110400m2 2208b1 |
Quadratic twists by: -4 8 5 |