Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550cu |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-74952864000000 = -1 · 211 · 39 · 56 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 1 3 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11855,-645353] |
[a1,a2,a3,a4,a6] |
j |
-599077107/243712 |
j-invariant |
L |
4.9342042102714 |
L(r)(E,1)/r! |
Ω |
0.22428200954484 |
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 |
53550e1 2142a1 |
Quadratic twists by: -3 5 |