Atkin-Lehner |
2+ 3- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
110448q |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
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 |
[27:-338:1] |
Generators of the group modulo torsion |
j |
967217468/1685099 |
j-invariant |
L |
9.4702494937545 |
L(r)(E,1)/r! |
Ω |
0.590519941496 |
Real period |
R |
1.0023210935458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972765 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55224u1 12272e1 |
Quadratic twists by: -4 -3 |