Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640q |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
121711056577689600 = 211 · 316 · 52 · 74 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-131696,7482804] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:4860:1] |
Generators of the group modulo torsion |
j |
123343086124179938/59429226844575 |
j-invariant |
L |
6.1372695695564 |
L(r)(E,1)/r! |
Ω |
0.29463934718444 |
Real period |
R |
0.3254651421837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19320m3 115920bg4 |
Quadratic twists by: -4 -3 |