Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520dq |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
6174414203682816000 = 218 · 36 · 53 · 76 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-955587,-339087166] |
[a1,a2,a3,a4,a6] |
Generators |
[-607:4160:1] |
Generators of the group modulo torsion |
j |
32318182904349889/2067798824000 |
j-invariant |
L |
6.7121883308724 |
L(r)(E,1)/r! |
Ω |
0.15331024936667 |
Real period |
R |
1.2161592367557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190x3 7280o3 |
Quadratic twists by: -4 -3 |