Atkin-Lehner |
2- 5+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13940b |
Isogeny class |
Conductor |
13940 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
174250000 = 24 · 56 · 17 · 41 |
Discriminant |
Eigenvalues |
2- -3 5+ 3 0 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-184693,-30550883] |
[a1,a2,a3,a4,a6] |
j |
43546678647048969984/10890625 |
j-invariant |
L |
1.3817777530189 |
L(r)(E,1)/r! |
Ω |
0.23029629216981 |
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 |
55760l1 125460x1 69700m1 |
Quadratic twists by: -4 -3 5 |