Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550by |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
979200 |
Modular degree for the optimal curve |
Δ |
-752131170000000000 = -1 · 210 · 37 · 510 · 7 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -4 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-770742,-263571084] |
[a1,a2,a3,a4,a6] |
j |
-7112520550825/105649152 |
j-invariant |
L |
1.9318350730057 |
L(r)(E,1)/r! |
Ω |
0.080493128107175 |
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 |
17850bu1 53550ed1 |
Quadratic twists by: -3 5 |