Atkin-Lehner |
2- 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
39900m |
Isogeny class |
Conductor |
39900 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-172918819500000000 = -1 · 28 · 3 · 59 · 75 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,98667,-16094463] |
[a1,a2,a3,a4,a6] |
j |
212454080512/345837639 |
j-invariant |
L |
1.6938007373788 |
L(r)(E,1)/r! |
Ω |
0.16938007374139 |
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 |
119700cb1 39900x1 |
Quadratic twists by: -3 5 |