Atkin-Lehner |
2+ 3+ 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150m |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12165120 |
Modular degree for the optimal curve |
Δ |
3.4474985938477E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17866250,6837316500] |
[a1,a2,a3,a4,a6] |
j |
40364905887857461629601/22063991000625000000 |
j-invariant |
L |
0.66830077410539 |
L(r)(E,1)/r! |
Ω |
0.083537605893971 |
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 |
17430bm1 |
Quadratic twists by: 5 |