Atkin-Lehner |
2+ 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
38480b |
Isogeny class |
Conductor |
38480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
22267611525536000 = 28 · 53 · 135 · 374 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -2 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15468716,23411749420] |
[a1,a2,a3,a4,a6] |
j |
1598993038664519586015184/86982857521625 |
j-invariant |
L |
0.57271151662123 |
L(r)(E,1)/r! |
Ω |
0.28635575831306 |
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 |
19240a1 |
Quadratic twists by: -4 |