Atkin-Lehner |
2+ 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54450p |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-40934489062500 = -1 · 22 · 39 · 58 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 11+ 4 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-350367,-79736959] |
[a1,a2,a3,a4,a6] |
j |
-464798385/4 |
j-invariant |
L |
2.3547766471521 |
L(r)(E,1)/r! |
Ω |
0.098115693534519 |
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 |
54450ei1 54450du1 54450ej1 |
Quadratic twists by: -3 5 -11 |