Atkin-Lehner |
2- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72896o |
Isogeny class |
Conductor |
72896 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
21255307264 = 214 · 172 · 672 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6076,-182160] |
[a1,a2,a3,a4,a6] |
Generators |
[2386:39627:8] |
Generators of the group modulo torsion |
j |
1514108747088/1297321 |
j-invariant |
L |
3.140902605913 |
L(r)(E,1)/r! |
Ω |
0.54077605377917 |
Real period |
R |
5.808139216704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001604 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72896g2 18224b2 |
Quadratic twists by: -4 8 |