Atkin-Lehner |
2- 3- 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
45990cg |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
2149056746726400 = 210 · 38 · 52 · 74 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39092,1978391] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:2269:1] |
Generators of the group modulo torsion |
j |
9062529616434169/2947951641600 |
j-invariant |
L |
9.9095273102717 |
L(r)(E,1)/r! |
Ω |
0.4276023489906 |
Real period |
R |
1.1587316269024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15330h2 |
Quadratic twists by: -3 |