Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550b |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3586611656250 = -1 · 2 · 39 · 56 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37842,-2825434] |
[a1,a2,a3,a4,a6] |
Generators |
[694463:14188529:1331] |
Generators of the group modulo torsion |
j |
-19486825371/11662 |
j-invariant |
L |
3.28583482323 |
L(r)(E,1)/r! |
Ω |
0.17114330410519 |
Real period |
R |
9.5996593041177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53550cq1 2142n2 |
Quadratic twists by: -3 5 |