Atkin-Lehner |
3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
33135h |
Isogeny class |
Conductor |
33135 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3348462186810140625 = 32 · 56 · 478 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-822899,-273568759] |
[a1,a2,a3,a4,a6] |
Generators |
[1066047249902076428434579925563:-876094622075699465896146480510597:1580357447803908651607631] |
Generators of the group modulo torsion |
j |
5717095008841/310640625 |
j-invariant |
L |
6.7404330579842 |
L(r)(E,1)/r! |
Ω |
0.15904873479436 |
Real period |
R |
42.379671027871 |
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 |
99405r2 705f2 |
Quadratic twists by: -3 -47 |