Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200w |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-55742871093750000 = -1 · 24 · 39 · 514 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -1 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2748675,1754051375] |
[a1,a2,a3,a4,a6] |
Generators |
[955:-225:1] |
Generators of the group modulo torsion |
j |
-12601619217266944/305859375 |
j-invariant |
L |
5.0513001629078 |
L(r)(E,1)/r! |
Ω |
0.32720415207732 |
Real period |
R |
1.9297203790136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104400bo1 17400y1 10440bc1 |
Quadratic twists by: -4 -3 5 |