Atkin-Lehner |
2- 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
87984bg |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
22418672320512 = 224 · 37 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8571,203434] |
[a1,a2,a3,a4,a6] |
j |
23320116793/7507968 |
j-invariant |
L |
1.2517236714692 |
L(r)(E,1)/r! |
Ω |
0.62586184681173 |
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 |
10998m1 29328o1 |
Quadratic twists by: -4 -3 |