Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
13888k |
Isogeny class |
Conductor |
13888 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-21429355544576 = -1 · 221 · 73 · 313 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2303,-219391] |
[a1,a2,a3,a4,a6] |
Generators |
[577:13888:1] |
Generators of the group modulo torsion |
j |
5150827583/81746504 |
j-invariant |
L |
2.7999231960991 |
L(r)(E,1)/r! |
Ω |
0.33219534182891 |
Real period |
R |
0.23412623400404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13888m2 434b2 124992dh2 97216h2 |
Quadratic twists by: -4 8 -3 -7 |