Atkin-Lehner |
2- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
52706d |
Isogeny class |
Conductor |
52706 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
79347206527552 = 26 · 198 · 73 |
Discriminant |
Eigenvalues |
2- 0 0 2 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18840,-893605] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:339:1] |
Generators of the group modulo torsion |
j |
15718937625/1686592 |
j-invariant |
L |
9.8926916585744 |
L(r)(E,1)/r! |
Ω |
0.41033544275418 |
Real period |
R |
4.0181319264785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2774a1 |
Quadratic twists by: -19 |