Atkin-Lehner |
2- 3+ 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33390bb |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-297304560000 = -1 · 27 · 33 · 54 · 72 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1468,14439] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-219:1] |
Generators of the group modulo torsion |
j |
12966281204157/11011280000 |
j-invariant |
L |
8.587451149863 |
L(r)(E,1)/r! |
Ω |
0.63010167898238 |
Real period |
R |
0.24336920068122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33390a2 |
Quadratic twists by: -3 |