Atkin-Lehner |
2+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49088h |
Isogeny class |
Conductor |
49088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-163364864 = -1 · 214 · 132 · 59 |
Discriminant |
Eigenvalues |
2+ -1 -1 1 -2 13- -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-241,1649] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:52:1] [7:16:1] |
Generators of the group modulo torsion |
j |
-94875856/9971 |
j-invariant |
L |
7.7022143846473 |
L(r)(E,1)/r! |
Ω |
1.7696442393025 |
Real period |
R |
1.0881020904633 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49088t1 6136e1 |
Quadratic twists by: -4 8 |