Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8550b |
Isogeny class |
Conductor |
8550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
205200000000 = 210 · 33 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -6 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1542,-7884] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:93:1] |
Generators of the group modulo torsion |
j |
961504803/486400 |
j-invariant |
L |
3.3527362142763 |
L(r)(E,1)/r! |
Ω |
0.80359550429 |
Real period |
R |
2.0860844768155 |
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 |
68400dn1 8550t1 1710m1 |
Quadratic twists by: -4 -3 5 |