Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86800br |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-164811500000000 = -1 · 28 · 59 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7133,-662137] |
[a1,a2,a3,a4,a6] |
Generators |
[119:434:1] |
Generators of the group modulo torsion |
j |
-10035552256/41202875 |
j-invariant |
L |
8.5480952945736 |
L(r)(E,1)/r! |
Ω |
0.2367311749046 |
Real period |
R |
1.5045362629619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001582 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21700b1 17360bc1 |
Quadratic twists by: -4 5 |