Atkin-Lehner |
2+ 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792bg |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
25165873152 = 214 · 36 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -2 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1169,12975] |
[a1,a2,a3,a4,a6] |
Generators |
[7:72:1] [-23:168:1] |
Generators of the group modulo torsion |
j |
10792418128/1536003 |
j-invariant |
L |
10.082597391586 |
L(r)(E,1)/r! |
Ω |
1.1464682238239 |
Real period |
R |
0.73287373504085 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57792cm2 3612c2 |
Quadratic twists by: -4 8 |