Atkin-Lehner |
3+ 5+ 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33495a |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1472176895805 = -1 · 310 · 5 · 72 · 112 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11+ 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2199,-41892] |
[a1,a2,a3,a4,a6] |
Generators |
[24:147:1] |
Generators of the group modulo torsion |
j |
1175945126599151/1472176895805 |
j-invariant |
L |
2.234220453548 |
L(r)(E,1)/r! |
Ω |
0.45512861292405 |
Real period |
R |
1.22724675515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100485x2 |
Quadratic twists by: -3 |