Atkin-Lehner |
2- 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190ca |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
930852000 = 25 · 34 · 53 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 1 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-725,7067] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-104:1] |
Generators of the group modulo torsion |
j |
249395415529/5508000 |
j-invariant |
L |
11.26609323325 |
L(r)(E,1)/r! |
Ω |
1.5694911353574 |
Real period |
R |
0.23927273793612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86190b1 |
Quadratic twists by: 13 |