Atkin-Lehner |
2- 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85200bq |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
1852526768947200 = 232 · 35 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 3 -6 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1338048,-595289088] |
[a1,a2,a3,a4,a6] |
j |
2587254552097843945/18091081728 |
j-invariant |
L |
2.2459587087819 |
L(r)(E,1)/r! |
Ω |
0.14037241979989 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10650bg1 85200dr2 |
Quadratic twists by: -4 5 |