Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
71568ca |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5854790349692928 = 213 · 310 · 74 · 712 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-113979,14346218] |
[a1,a2,a3,a4,a6] |
Generators |
[-331:3976:1] |
Generators of the group modulo torsion |
j |
54841681585657/1960757442 |
j-invariant |
L |
7.8113398918967 |
L(r)(E,1)/r! |
Ω |
0.42321667651507 |
Real period |
R |
1.1535668851515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994239 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8946r2 23856t2 |
Quadratic twists by: -4 -3 |