Atkin-Lehner |
11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1859a |
Isogeny class |
Conductor |
1859 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-53094899 = -1 · 11 · 136 |
Discriminant |
Eigenvalues |
2 -1 -1 2 11+ 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1321636,-584371175] |
[a1,a2,a3,a4,a6] |
Generators |
[59613652732900151658:-39412567090722910114403:136384103924424] |
Generators of the group modulo torsion |
j |
-52893159101157376/11 |
j-invariant |
L |
4.5229958287478 |
L(r)(E,1)/r! |
Ω |
0.070403065013475 |
Real period |
R |
32.12215141402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29744z3 118976bb3 16731m3 46475a3 |
Quadratic twists by: -4 8 -3 5 |