Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200cj |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
44167680000000000 = 218 · 35 · 510 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -3 2 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1765208,903228912] |
[a1,a2,a3,a4,a6] |
Generators |
[748:896:1] |
Generators of the group modulo torsion |
j |
15207282995425/1104192 |
j-invariant |
L |
3.8953806337228 |
L(r)(E,1)/r! |
Ω |
0.34266887383867 |
Real period |
R |
2.8419422783633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999834618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10650i1 85200ea1 |
Quadratic twists by: -4 5 |