Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
61920cf |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
465841497600 = 29 · 39 · 52 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1947,3886] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:90:1] |
Generators of the group modulo torsion |
j |
2186875592/1248075 |
j-invariant |
L |
4.9954157333743 |
L(r)(E,1)/r! |
Ω |
0.80252241650697 |
Real period |
R |
1.5561608094973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000259 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61920w2 123840br2 20640i2 |
Quadratic twists by: -4 8 -3 |