Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
61920bu |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6211219968000 = -1 · 212 · 38 · 53 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -2 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4452,-36128] |
[a1,a2,a3,a4,a6] |
j |
3268147904/2080125 |
j-invariant |
L |
3.4614228013744 |
L(r)(E,1)/r! |
Ω |
0.43267784985849 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61920n2 123840cu1 20640l2 |
Quadratic twists by: -4 8 -3 |