Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400de |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
3485027136013200 = 24 · 33 · 52 · 199 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 0 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-180285,29326495] |
[a1,a2,a3,a4,a6] |
j |
60003797858807040/322687697779 |
j-invariant |
L |
0.89481491910384 |
L(r)(E,1)/r! |
Ω |
0.44740746187714 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17100b1 68400dd2 68400dq1 |
Quadratic twists by: -4 -3 5 |