Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280fp |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
16141109760000 = 212 · 38 · 54 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9732,314944] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:720:1] |
Generators of the group modulo torsion |
j |
34138350784/5405625 |
j-invariant |
L |
7.4777261349517 |
L(r)(E,1)/r! |
Ω |
0.66639965614682 |
Real period |
R |
1.4026354286486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948456 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89280fb2 44640o1 29760cl2 |
Quadratic twists by: -4 8 -3 |