Atkin-Lehner |
2+ 3+ 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13110a |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
188464202853750 = 2 · 37 · 54 · 194 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19003,-769793] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:290:1] |
Generators of the group modulo torsion |
j |
758972300355722809/188464202853750 |
j-invariant |
L |
2.6342515066958 |
L(r)(E,1)/r! |
Ω |
0.41401626399316 |
Real period |
R |
3.1813381934427 |
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 |
104880cu2 39330bw2 65550cc2 |
Quadratic twists by: -4 -3 5 |