Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
39900x |
Isogeny class |
Conductor |
39900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-11066804448000 = -1 · 28 · 3 · 53 · 75 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3947,-127177] |
[a1,a2,a3,a4,a6] |
j |
212454080512/345837639 |
j-invariant |
L |
2.2724721535301 |
L(r)(E,1)/r! |
Ω |
0.37874535891968 |
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 |
119700bq1 39900m1 |
Quadratic twists by: -3 5 |