Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066q |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4564558012014 = 2 · 32 · 7 · 118 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-80951,8830815] |
[a1,a2,a3,a4,a6] |
Generators |
[127:723:1] |
Generators of the group modulo torsion |
j |
33116363266897/2576574 |
j-invariant |
L |
2.5814553772602 |
L(r)(E,1)/r! |
Ω |
0.73737452410391 |
Real period |
R |
0.8752185264359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984109 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006s2 |
Quadratic twists by: -11 |