Atkin-Lehner |
2+ 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85200p |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
1725300000000 = 28 · 35 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -5 0 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3708,60912] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:64:1] [-8:300:1] |
Generators of the group modulo torsion |
j |
56397520/17253 |
j-invariant |
L |
9.6209742793851 |
L(r)(E,1)/r! |
Ω |
0.77756663389212 |
Real period |
R |
2.0621971717131 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42600bj1 85200v1 |
Quadratic twists by: -4 5 |