Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120bg |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-44959908600000 = -1 · 26 · 314 · 55 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 -1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23125,1383773] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:1215:1] |
Generators of the group modulo torsion |
j |
-21370158463320064/702498571875 |
j-invariant |
L |
8.4394090231639 |
L(r)(E,1)/r! |
Ω |
0.63630514157426 |
Real period |
R |
0.18947353740859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999876 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45120cf1 705a1 |
Quadratic twists by: -4 8 |