Atkin-Lehner |
3- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
72561m |
Isogeny class |
Conductor |
72561 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
146880 |
Modular degree for the optimal curve |
Δ |
30723265541169 = 33 · 198 · 67 |
Discriminant |
Eigenvalues |
1 3- -2 -2 0 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15892,722165] |
[a1,a2,a3,a4,a6] |
j |
9434056897/653049 |
j-invariant |
L |
1.9420878228946 |
L(r)(E,1)/r! |
Ω |
0.64736260496155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3819a1 |
Quadratic twists by: -19 |