Atkin-Lehner |
2- 7+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
65296p |
Isogeny class |
Conductor |
65296 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
33725433796296704 = 216 · 72 · 113 · 534 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 11- -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1810704,-938381804] |
[a1,a2,a3,a4,a6] |
Generators |
[-780:154:1] |
Generators of the group modulo torsion |
j |
160289984521621066897/8233748485424 |
j-invariant |
L |
1.3119354006771 |
L(r)(E,1)/r! |
Ω |
0.13014845232489 |
Real period |
R |
1.6800499457065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999931689 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8162j2 |
Quadratic twists by: -4 |