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 |
-655864269111296 = -1 · 219 · 79 · 31 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-215937,-38570111] |
[a1,a2,a3,a4,a6] |
Generators |
[673:10976:1] |
Generators of the group modulo torsion |
j |
-4247828669470177/2501923634 |
j-invariant |
L |
2.7999231960991 |
L(r)(E,1)/r! |
Ω |
0.11073178060964 |
Real period |
R |
0.70237870201212 |
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 |
13888m3 434b3 124992dh3 97216h3 |
Quadratic twists by: -4 8 -3 -7 |