Atkin-Lehner |
2+ 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
112832m |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12731060224 = 212 · 412 · 432 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 -4 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2356,43680] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:240:1] |
Generators of the group modulo torsion |
j |
353093418432/3108169 |
j-invariant |
L |
3.6134520440214 |
L(r)(E,1)/r! |
Ω |
1.2694940223808 |
Real period |
R |
2.846371879395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998828172 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
112832j2 56416p1 |
Quadratic twists by: -4 8 |