Atkin-Lehner |
2- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
56056s |
Isogeny class |
Conductor |
56056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2427631990784 = 211 · 73 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 11+ 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35744,-2588116] |
[a1,a2,a3,a4,a6] |
j |
7189873413518/3455881 |
j-invariant |
L |
1.3888977485727 |
L(r)(E,1)/r! |
Ω |
0.34722443746859 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112112w2 56056p2 |
Quadratic twists by: -4 -7 |