Atkin-Lehner |
2- 3+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113088t |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3449860718592 = -1 · 216 · 3 · 19 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3583,33057] |
[a1,a2,a3,a4,a6] |
j |
77600226812/52640697 |
j-invariant |
L |
1.9951798829565 |
L(r)(E,1)/r! |
Ω |
0.49879506996639 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113088n3 28272d3 |
Quadratic twists by: -4 8 |