Atkin-Lehner |
2+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
49088b |
Isogeny class |
Conductor |
49088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-110434648064 = -1 · 216 · 134 · 59 |
Discriminant |
Eigenvalues |
2+ 1 3 -1 2 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,831,13343] |
[a1,a2,a3,a4,a6] |
j |
967217468/1685099 |
j-invariant |
L |
2.8929450783183 |
L(r)(E,1)/r! |
Ω |
0.72323626980168 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49088m1 6136b1 |
Quadratic twists by: -4 8 |