Atkin-Lehner |
2- 3+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
44520p |
Isogeny class |
Conductor |
44520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-249312000 = -1 · 28 · 3 · 53 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -4 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-281,-1875] |
[a1,a2,a3,a4,a6] |
j |
-9619385344/973875 |
j-invariant |
L |
2.3181449237694 |
L(r)(E,1)/r! |
Ω |
0.5795362309139 |
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 |
89040m1 |
Quadratic twists by: -4 |