Atkin-Lehner |
3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
52185j |
Isogeny class |
Conductor |
52185 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-30446972955 = -1 · 36 · 5 · 76 · 71 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -2 1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1241,-19225] |
[a1,a2,a3,a4,a6] |
j |
-1798045696/258795 |
j-invariant |
L |
2.3938644624621 |
L(r)(E,1)/r! |
Ω |
0.39897741048935 |
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 |
1065c1 |
Quadratic twists by: -7 |