Atkin-Lehner |
2+ 3- 7+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
113526f |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
71653773169300896 = 25 · 36 · 74 · 176 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-126546,-11559628] |
[a1,a2,a3,a4,a6] |
Generators |
[-794:1377:8] |
Generators of the group modulo torsion |
j |
307427972201566497/98290498174624 |
j-invariant |
L |
5.3788956682916 |
L(r)(E,1)/r! |
Ω |
0.25952672087666 |
Real period |
R |
5.1814469000909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999531186 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12614h2 |
Quadratic twists by: -3 |