Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400bb |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
3739770000 = 24 · 39 · 54 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -2 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-675,-6075] |
[a1,a2,a3,a4,a6] |
Generators |
[-1116:1269:64] |
Generators of the group modulo torsion |
j |
172800/19 |
j-invariant |
L |
7.6909295415148 |
L(r)(E,1)/r! |
Ω |
0.94332649156375 |
Real period |
R |
4.0764939869819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000356 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34200cf1 68400ba1 68400n1 |
Quadratic twists by: -4 -3 5 |