Atkin-Lehner |
2- 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
48032d |
Isogeny class |
Conductor |
48032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1153536512 = 29 · 192 · 792 |
Discriminant |
Eigenvalues |
2- 2 -2 4 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3824,-89740] |
[a1,a2,a3,a4,a6] |
Generators |
[-1789172:-192318:50653] |
Generators of the group modulo torsion |
j |
12081503046536/2253001 |
j-invariant |
L |
8.7941914150009 |
L(r)(E,1)/r! |
Ω |
0.60710733480581 |
Real period |
R |
7.242699034273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48032e2 96064bd2 |
Quadratic twists by: -4 8 |