Atkin-Lehner |
2+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49088a |
Isogeny class |
Conductor |
49088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1607680 |
Modular degree for the optimal curve |
Δ |
-133261738296786944 = -1 · 214 · 1310 · 59 |
Discriminant |
Eigenvalues |
2+ 3 3 1 -6 13+ -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-948796,356152592] |
[a1,a2,a3,a4,a6] |
Generators |
[233532:6724376:729] |
Generators of the group modulo torsion |
j |
-5765305272706770768/8133651019091 |
j-invariant |
L |
13.087676349939 |
L(r)(E,1)/r! |
Ω |
0.32797063045012 |
Real period |
R |
9.9762563586856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49088q1 6136c1 |
Quadratic twists by: -4 8 |