Atkin-Lehner |
2+ 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
4440d |
Isogeny class |
Conductor |
4440 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-276203520 = -1 · 211 · 36 · 5 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 3 6 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-440,-3792] |
[a1,a2,a3,a4,a6] |
j |
-4610398322/134865 |
j-invariant |
L |
3.1212381356926 |
L(r)(E,1)/r! |
Ω |
0.52020635594876 |
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 |
8880d1 35520a1 13320m1 22200m1 |
Quadratic twists by: -4 8 -3 5 |