Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22800bi |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6498000000000 = 210 · 32 · 59 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23208,1347588] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:1500:1] |
Generators of the group modulo torsion |
j |
691234772/3249 |
j-invariant |
L |
6.7745520235958 |
L(r)(E,1)/r! |
Ω |
0.75522636272469 |
Real period |
R |
1.1212783937975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11400bf2 91200hb2 68400cj2 22800m2 |
Quadratic twists by: -4 8 -3 5 |