Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
54900i |
Isogeny class |
Conductor |
54900 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
8104475250000 = 24 · 312 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6600,-154375] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:225:1] |
Generators of the group modulo torsion |
j |
174456832/44469 |
j-invariant |
L |
7.344134656208 |
L(r)(E,1)/r! |
Ω |
0.53963247795108 |
Real period |
R |
1.1341259956771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999134 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18300a1 2196c1 |
Quadratic twists by: -3 5 |