Atkin-Lehner |
2- 3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150dh |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
195129270000 = 24 · 33 · 54 · 75 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 5 -2 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1663,15017] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:-145:1] |
Generators of the group modulo torsion |
j |
813835751425/312206832 |
j-invariant |
L |
12.312503205789 |
L(r)(E,1)/r! |
Ω |
0.91725658225474 |
Real period |
R |
0.22371972110428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45150j1 |
Quadratic twists by: 5 |