Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462ce |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
Δ |
-480312104583168 = -1 · 221 · 36 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-80645,8897789] |
[a1,a2,a3,a4,a6] |
Generators |
[63:1984:1] |
Generators of the group modulo torsion |
j |
-2785800837625/23068672 |
j-invariant |
L |
9.2139738950533 |
L(r)(E,1)/r! |
Ω |
0.5276338412969 |
Real period |
R |
1.2473441636839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
3718j2 33462bd2 |
Quadratic twists by: -3 13 |