Atkin-Lehner |
2+ 3+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792i |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11184832512 = 216 · 34 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3585,-81279] |
[a1,a2,a3,a4,a6] |
Generators |
[111:936:1] |
Generators of the group modulo torsion |
j |
77773635076/170667 |
j-invariant |
L |
3.9325144298024 |
L(r)(E,1)/r! |
Ω |
0.61705578846863 |
Real period |
R |
3.186514496219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998476 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57792dj2 7224i2 |
Quadratic twists by: -4 8 |