Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128z |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-61614450933792768 = -1 · 215 · 316 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1828289,-952199073] |
[a1,a2,a3,a4,a6] |
Generators |
[3613:199044:1] |
Generators of the group modulo torsion |
j |
-20625693207826202504/1880323820001 |
j-invariant |
L |
7.3636485302208 |
L(r)(E,1)/r! |
Ω |
0.064916627896707 |
Real period |
R |
3.5447623209205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40128g2 20064p2 120384q2 |
Quadratic twists by: -4 8 -3 |