Atkin-Lehner |
2- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13760u |
Isogeny class |
Conductor |
13760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-68800 = -1 · 26 · 52 · 43 |
Discriminant |
Eigenvalues |
2- -2 5- -2 5 -1 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-155,-797] |
[a1,a2,a3,a4,a6] |
j |
-6476460544/1075 |
j-invariant |
L |
1.352318733925 |
L(r)(E,1)/r! |
Ω |
0.6761593669625 |
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 |
13760r1 6880g1 123840fm1 68800cy1 |
Quadratic twists by: -4 8 -3 5 |