Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
61920o |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3454427041758720 = 29 · 322 · 5 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40323,-1310218] |
[a1,a2,a3,a4,a6] |
Generators |
[-2562:34804:27] |
Generators of the group modulo torsion |
j |
19426060200968/9255045015 |
j-invariant |
L |
5.341180369528 |
L(r)(E,1)/r! |
Ω |
0.35310476481953 |
Real period |
R |
7.563166660067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61920bp3 123840cl3 20640s3 |
Quadratic twists by: -4 8 -3 |