Atkin-Lehner |
2- 3- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
55224u |
Isogeny class |
Conductor |
55224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1257919663104 = -1 · 210 · 36 · 134 · 59 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 2 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1869,-44098] |
[a1,a2,a3,a4,a6] |
Generators |
[38:286:1] |
Generators of the group modulo torsion |
j |
967217468/1685099 |
j-invariant |
L |
8.4072120326855 |
L(r)(E,1)/r! |
Ω |
0.45234949223272 |
Real period |
R |
2.3232069939757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110448q1 6136b1 |
Quadratic twists by: -4 -3 |