Atkin-Lehner |
2- 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105336bi |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
3114574848 = 210 · 33 · 72 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2355,-43906] |
[a1,a2,a3,a4,a6] |
j |
52243555500/112651 |
j-invariant |
L |
2.7416883019377 |
L(r)(E,1)/r! |
Ω |
0.68542208057086 |
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 |
105336d1 |
Quadratic twists by: -3 |