Atkin-Lehner |
2+ 3+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113088a |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10722870263808 = 215 · 34 · 194 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 0 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-107617,13623457] |
[a1,a2,a3,a4,a6] |
Generators |
[193:72:1] |
Generators of the group modulo torsion |
j |
4206495768216776/327236031 |
j-invariant |
L |
3.1232481137723 |
L(r)(E,1)/r! |
Ω |
0.68671644754542 |
Real period |
R |
1.1370224392526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000232835 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113088o4 56544e4 |
Quadratic twists by: -4 8 |