Atkin-Lehner |
2+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13888d |
Isogeny class |
Conductor |
13888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
220430336 = 215 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-257,-1505] |
[a1,a2,a3,a4,a6] |
Generators |
[18:5:1] |
Generators of the group modulo torsion |
j |
57512456/6727 |
j-invariant |
L |
3.9750034885611 |
L(r)(E,1)/r! |
Ω |
1.2010969568816 |
Real period |
R |
3.3094776119334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13888l2 6944f2 124992bl2 97216z2 |
Quadratic twists by: -4 8 -3 -7 |