Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200cf |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
766361250000 = 24 · 36 · 57 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2550,26125] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:275:1] [-10:225:1] |
Generators of the group modulo torsion |
j |
10061824/4205 |
j-invariant |
L |
8.6479991257222 |
L(r)(E,1)/r! |
Ω |
0.81217822116336 |
Real period |
R |
1.3309885226509 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400bs1 5800c1 10440l1 |
Quadratic twists by: -4 -3 5 |