Atkin-Lehner |
2+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73408i |
Isogeny class |
Conductor |
73408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-59493366784 = -1 · 210 · 31 · 374 |
Discriminant |
Eigenvalues |
2+ 0 -1 1 -6 4 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10028,-386696] |
[a1,a2,a3,a4,a6] |
j |
-108909742530816/58098991 |
j-invariant |
L |
0.47706995952572 |
L(r)(E,1)/r! |
Ω |
0.23853498353208 |
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 |
73408u1 9176b1 |
Quadratic twists by: -4 8 |