Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22800g |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
1846800 = 24 · 35 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 0 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128,-513] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:37:27] |
Generators of the group modulo torsion |
j |
584362240/4617 |
j-invariant |
L |
5.1309623199042 |
L(r)(E,1)/r! |
Ω |
1.4191281113998 |
Real period |
R |
3.6155737305797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11400m1 91200in1 68400bt1 22800bl1 |
Quadratic twists by: -4 8 -3 5 |