Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22800a |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
22800000000 = 210 · 3 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-760008,-254767488] |
[a1,a2,a3,a4,a6] |
Generators |
[-135600942034:69133057:269586136] |
Generators of the group modulo torsion |
j |
3034301922374404/1425 |
j-invariant |
L |
4.7056418759767 |
L(r)(E,1)/r! |
Ω |
0.16169439515325 |
Real period |
R |
14.551035833731 |
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 |
11400bj4 91200hz4 68400be4 4560g3 |
Quadratic twists by: -4 8 -3 5 |