Atkin-Lehner |
2- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
61268f |
Isogeny class |
Conductor |
61268 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
66659584 = 28 · 173 · 53 |
Discriminant |
Eigenvalues |
2- -1 -3 -2 0 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-997,12449] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-34:1] |
Generators of the group modulo torsion |
j |
87228416/53 |
j-invariant |
L |
2.6880653483445 |
L(r)(E,1)/r! |
Ω |
1.9353749303757 |
Real period |
R |
0.23148532327474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61268e1 |
Quadratic twists by: 17 |