Atkin-Lehner |
2- 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87984s |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
18289810770776064 = 212 · 39 · 136 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 -3 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-95904,9399024] |
[a1,a2,a3,a4,a6] |
Generators |
[-183:4563:1] |
Generators of the group modulo torsion |
j |
1209992380416/226860023 |
j-invariant |
L |
4.4070342129326 |
L(r)(E,1)/r! |
Ω |
0.36835388918239 |
Real period |
R |
0.99701092464143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999844442 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5499c2 87984x1 |
Quadratic twists by: -4 -3 |