Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800ju |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
113820562243584000 = 217 · 310 · 53 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-649168,200446868] |
[a1,a2,a3,a4,a6] |
Generators |
[578:-4320:1] |
Generators of the group modulo torsion |
j |
502270291349/1889568 |
j-invariant |
L |
8.067658549019 |
L(r)(E,1)/r! |
Ω |
0.33435856969121 |
Real period |
R |
0.60321906482733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999671 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7350cc4 58800hf4 1200m4 |
Quadratic twists by: -4 5 -7 |