Atkin-Lehner |
2- 5+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13940d |
Isogeny class |
Conductor |
13940 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
55760 = 24 · 5 · 17 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 4 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1161,-15620] |
[a1,a2,a3,a4,a6] |
j |
10826159079424/3485 |
j-invariant |
L |
0.81782492061206 |
L(r)(E,1)/r! |
Ω |
0.81782492061206 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55760r1 125460t1 69700e1 |
Quadratic twists by: -4 -3 5 |