Atkin-Lehner |
2- 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
19740q |
Isogeny class |
Conductor |
19740 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-78960 = -1 · 24 · 3 · 5 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 4 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26,45] |
[a1,a2,a3,a4,a6] |
j |
-126217984/4935 |
j-invariant |
L |
3.4060641190011 |
L(r)(E,1)/r! |
Ω |
3.4060641190011 |
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 |
78960bj1 59220bb1 98700f1 |
Quadratic twists by: -4 -3 5 |