Atkin-Lehner |
3+ 5- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33495k |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10176018981975 = 312 · 52 · 74 · 11 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-43277,3443874] |
[a1,a2,a3,a4,a6] |
j |
8964185488708547161/10176018981975 |
j-invariant |
L |
2.8845596071178 |
L(r)(E,1)/r! |
Ω |
0.72113990178214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100485n4 |
Quadratic twists by: -3 |