Atkin-Lehner |
2- 3- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648ba |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
430512078422016 = 215 · 39 · 192 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168339,-26565550] |
[a1,a2,a3,a4,a6] |
Generators |
[-233:90:1] |
Generators of the group modulo torsion |
j |
176681250634897/144177624 |
j-invariant |
L |
10.006637013232 |
L(r)(E,1)/r! |
Ω |
0.23570817420351 |
Real period |
R |
2.6533437578832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14706k2 39216m2 |
Quadratic twists by: -4 -3 |