Atkin-Lehner |
3+ 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
44835n |
Isogeny class |
Conductor |
44835 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
54432 |
Modular degree for the optimal curve |
Δ |
-24220987875 = -1 · 33 · 53 · 76 · 61 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 4 -4 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-310,7881] |
[a1,a2,a3,a4,a6] |
j |
-28094464/205875 |
j-invariant |
L |
3.0856134745468 |
L(r)(E,1)/r! |
Ω |
1.0285378247514 |
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 |
915c1 |
Quadratic twists by: -7 |