Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
69966a |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
186417310208688 = 24 · 33 · 138 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46422,3804932] |
[a1,a2,a3,a4,a6] |
Generators |
[179:-1188:1] |
Generators of the group modulo torsion |
j |
84893929875/1430416 |
j-invariant |
L |
5.3984694705838 |
L(r)(E,1)/r! |
Ω |
0.56888685131044 |
Real period |
R |
1.1861913880129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000663 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69966v2 5382h2 |
Quadratic twists by: -3 13 |