Atkin-Lehner |
2+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33488h |
Isogeny class |
Conductor |
33488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1615077481472 = 210 · 74 · 134 · 23 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3251,-36766] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:28:1] |
Generators of the group modulo torsion |
j |
3710860803108/1577224103 |
j-invariant |
L |
3.577735077353 |
L(r)(E,1)/r! |
Ω |
0.65685839214284 |
Real period |
R |
2.7233686287249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16744d3 |
Quadratic twists by: -4 |