Atkin-Lehner |
2+ 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472b |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
31956604551168 = 220 · 3 · 11 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46337,-3814143] |
[a1,a2,a3,a4,a6] |
Generators |
[1132453:64918580:343] |
Generators of the group modulo torsion |
j |
41973665875777/121904772 |
j-invariant |
L |
7.3798360437036 |
L(r)(E,1)/r! |
Ω |
0.32545624893731 |
Real period |
R |
11.337677594975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000354 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472cs4 2046i3 |
Quadratic twists by: -4 8 |