Atkin-Lehner |
2- 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78498bk |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-2992208429448 = -1 · 23 · 36 · 78 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 3 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9735305,11693993105] |
[a1,a2,a3,a4,a6] |
Generators |
[768467430:2462298395:405224] |
Generators of the group modulo torsion |
j |
-24280661166015625/712 |
j-invariant |
L |
11.029091134247 |
L(r)(E,1)/r! |
Ω |
0.42387228994317 |
Real period |
R |
13.009922322638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000443 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
8722b2 78498bw2 |
Quadratic twists by: -3 -7 |