Atkin-Lehner |
2- 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800cv |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
23225940000000 = 28 · 39 · 57 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -3 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12533,-491937] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:150:1] [-62:225:1] |
Generators of the group modulo torsion |
j |
54433153024/5806485 |
j-invariant |
L |
11.053133614891 |
L(r)(E,1)/r! |
Ω |
0.4543305222964 |
Real period |
R |
0.33789441192687 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17700a1 14160p1 |
Quadratic twists by: -4 5 |