Atkin-Lehner |
2- 3+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
54672l |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1031680 |
Modular degree for the optimal curve |
Δ |
-498350371221504 = -1 · 212 · 313 · 17 · 672 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 3 5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7930021,-8592629171] |
[a1,a2,a3,a4,a6] |
j |
-13464394604399531782144/121667571099 |
j-invariant |
L |
0.8096987622141 |
L(r)(E,1)/r! |
Ω |
0.044983264525669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3417f1 |
Quadratic twists by: -4 |