Atkin-Lehner |
2- 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550fo |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3594240 |
Modular degree for the optimal curve |
Δ |
1.7668968030146E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1411205,86105247] |
[a1,a2,a3,a4,a6] |
Generators |
[-952090:24265731:1000] |
Generators of the group modulo torsion |
j |
682159917625804825/387796280497038 |
j-invariant |
L |
11.093073294851 |
L(r)(E,1)/r! |
Ω |
0.15502350410208 |
Real period |
R |
2.9815568318954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999897346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850u1 116550bv1 |
Quadratic twists by: -3 5 |