Atkin-Lehner |
2+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
65800b |
Isogeny class |
Conductor |
65800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
43296400000000 = 210 · 58 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16075,717750] |
[a1,a2,a3,a4,a6] |
j |
28711552356/2706025 |
j-invariant |
L |
1.2484535764331 |
L(r)(E,1)/r! |
Ω |
0.6242267889188 |
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 |
13160d2 |
Quadratic twists by: 5 |