Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440er |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-507978495201116160 = -1 · 238 · 37 · 5 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-166188,43079632] |
[a1,a2,a3,a4,a6] |
j |
-2656166199049/2658140160 |
j-invariant |
L |
2.1404484844007 |
L(r)(E,1)/r! |
Ω |
0.26755606055128 |
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 |
37440bv1 9360bz1 12480dg1 |
Quadratic twists by: -4 8 -3 |