Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
19152bz |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-211933886897553408 = -1 · 215 · 310 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51909,21676394] |
[a1,a2,a3,a4,a6] |
Generators |
[125:5488:1] |
Generators of the group modulo torsion |
j |
5180411077127/70976229912 |
j-invariant |
L |
4.6250434672122 |
L(r)(E,1)/r! |
Ω |
0.23409745340552 |
Real period |
R |
0.61740359088832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2394k4 76608ew3 6384y4 |
Quadratic twists by: -4 8 -3 |