Atkin-Lehner |
2- 5+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
81700a |
Isogeny class |
Conductor |
81700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-3268000000 = -1 · 28 · 56 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 0 0 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25,2750] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:50:1] |
Generators of the group modulo torsion |
j |
432/817 |
j-invariant |
L |
3.841812885175 |
L(r)(E,1)/r! |
Ω |
1.1091416861067 |
Real period |
R |
0.57729517808647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3268a1 |
Quadratic twists by: 5 |