Atkin-Lehner |
2+ 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128h |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-205392053512470528 = -1 · 215 · 34 · 118 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160289,-32894367] |
[a1,a2,a3,a4,a6] |
j |
-13899130898066504/6268068039321 |
j-invariant |
L |
0.93405230823066 |
L(r)(E,1)/r! |
Ω |
0.11675653852303 |
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 |
40128ba3 20064i4 120384bu3 |
Quadratic twists by: -4 8 -3 |