Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450gy |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-10228426314480000 = -1 · 27 · 38 · 54 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14180,4912647] |
[a1,a2,a3,a4,a6] |
Generators |
[113:-2235:1] |
Generators of the group modulo torsion |
j |
-390625/12672 |
j-invariant |
L |
10.370095300933 |
L(r)(E,1)/r! |
Ω |
0.33940513881214 |
Real period |
R |
0.54560244396493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150q1 54450by1 4950v1 |
Quadratic twists by: -3 5 -11 |