Atkin-Lehner |
2+ 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52360c |
Isogeny class |
Conductor |
52360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
658250860960000 = 28 · 54 · 76 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32983,-1947318] |
[a1,a2,a3,a4,a6] |
j |
15500803509829584/2571292425625 |
j-invariant |
L |
2.1495285357231 |
L(r)(E,1)/r! |
Ω |
0.35825475575752 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
104720a2 |
Quadratic twists by: -4 |