Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
3870j |
Isogeny class |
Conductor |
3870 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-80248320 = -1 · 29 · 36 · 5 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 6 5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,36,-432] |
[a1,a2,a3,a4,a6] |
j |
6967871/110080 |
j-invariant |
L |
1.8822590400875 |
L(r)(E,1)/r! |
Ω |
0.94112952004377 |
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 |
30960bv1 123840bj1 430c1 19350bx1 |
Quadratic twists by: -4 8 -3 5 |