Atkin-Lehner |
2- 3+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
124722bj |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
622612224 = 28 · 33 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 -3 13- 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-227,-477] |
[a1,a2,a3,a4,a6] |
Generators |
[23:66:1] [-7:30:1] |
Generators of the group modulo torsion |
j |
21717639/10496 |
j-invariant |
L |
16.96664418319 |
L(r)(E,1)/r! |
Ω |
1.291316856722 |
Real period |
R |
0.41059452473212 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999935938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124722h1 124722g1 |
Quadratic twists by: -3 13 |