Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54450dt |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
278784 |
Modular degree for the optimal curve |
Δ |
-6366458765700 = -1 · 22 · 33 · 52 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11+ 4 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-188420,-31433333] |
[a1,a2,a3,a4,a6] |
j |
-464798385/4 |
j-invariant |
L |
3.6663822625237 |
L(r)(E,1)/r! |
Ω |
0.11457444573345 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450a1 54450q1 54450b1 |
Quadratic twists by: -3 5 -11 |