Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61920bo |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15975360000 = 29 · 33 · 54 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -6 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1107,-12806] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:30:1] |
Generators of the group modulo torsion |
j |
10852576344/1155625 |
j-invariant |
L |
4.7722989672418 |
L(r)(E,1)/r! |
Ω |
0.83338557538102 |
Real period |
R |
1.4315999424769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61920i2 123840m2 61920d2 |
Quadratic twists by: -4 8 -3 |