Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800be |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
149590800 = 24 · 39 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -4 4 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59828,-5652537] |
[a1,a2,a3,a4,a6] |
Generators |
[-17695:9:125] |
Generators of the group modulo torsion |
j |
59208551269469440/373977 |
j-invariant |
L |
6.8633883330569 |
L(r)(E,1)/r! |
Ω |
0.30526205861741 |
Real period |
R |
2.4981771633427 |
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 |
11400w1 91200fd1 68400bz1 22800p1 |
Quadratic twists by: -4 8 -3 5 |