Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800ci |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-10944000000 = -1 · 212 · 32 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -1 -2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-933,-11763] |
[a1,a2,a3,a4,a6] |
Generators |
[36:3:1] |
Generators of the group modulo torsion |
j |
-1404928/171 |
j-invariant |
L |
2.945978427295 |
L(r)(E,1)/r! |
Ω |
0.42895151737319 |
Real period |
R |
3.4339293696122 |
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 |
1425i1 91200hy1 68400fu1 912l1 |
Quadratic twists by: -4 8 -3 5 |