Atkin-Lehner |
2+ 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200q |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
27264000 = 210 · 3 · 53 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-368,2832] |
[a1,a2,a3,a4,a6] |
Generators |
[16:28:1] |
Generators of the group modulo torsion |
j |
43175444/213 |
j-invariant |
L |
6.1318773655387 |
L(r)(E,1)/r! |
Ω |
2.1193886022284 |
Real period |
R |
1.4466146882576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002153 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42600i1 85200bg1 |
Quadratic twists by: -4 5 |