Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
61920ca |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
21060369100800 = 212 · 314 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52572,4634336] |
[a1,a2,a3,a4,a6] |
Generators |
[142:180:1] |
Generators of the group modulo torsion |
j |
5381455253824/7053075 |
j-invariant |
L |
5.8373253632747 |
L(r)(E,1)/r! |
Ω |
0.67969353898895 |
Real period |
R |
1.0735215630705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000343 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61920q4 123840bf1 20640a2 |
Quadratic twists by: -4 8 -3 |