Atkin-Lehner |
2- 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
39900k |
Isogeny class |
Conductor |
39900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-62685393750000 = -1 · 24 · 34 · 58 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1958,383037] |
[a1,a2,a3,a4,a6] |
j |
-132893440/10029663 |
j-invariant |
L |
2.051527091302 |
L(r)(E,1)/r! |
Ω |
0.51288177281535 |
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 |
119700bw1 39900v1 |
Quadratic twists by: -3 5 |