Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
61920o |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4134436459499520 = -1 · 212 · 310 · 5 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2748,3094112] |
[a1,a2,a3,a4,a6] |
Generators |
[1912:83592:1] |
Generators of the group modulo torsion |
j |
-768575296/1384614405 |
j-invariant |
L |
5.341180369528 |
L(r)(E,1)/r! |
Ω |
0.35310476481953 |
Real period |
R |
1.8907916650168 |
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 |
61920bp2 123840cl1 20640s4 |
Quadratic twists by: -4 8 -3 |