Atkin-Lehner |
2+ 3+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113088a |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9323104997376 = 212 · 38 · 192 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 0 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7177,184585] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:620:1] |
Generators of the group modulo torsion |
j |
9982817080768/2276148681 |
j-invariant |
L |
3.1232481137723 |
L(r)(E,1)/r! |
Ω |
0.68671644754542 |
Real period |
R |
2.2740448785053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000232835 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
113088o2 56544e1 |
Quadratic twists by: -4 8 |