Atkin-Lehner |
2+ 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
38976j |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
72001486061568 = 224 · 36 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-151873,22827841] |
[a1,a2,a3,a4,a6] |
Generators |
[273:1280:1] |
Generators of the group modulo torsion |
j |
1477843225692625/274663872 |
j-invariant |
L |
4.329156772052 |
L(r)(E,1)/r! |
Ω |
0.5965328700094 |
Real period |
R |
1.8142993411182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976bq2 1218k2 116928bw2 |
Quadratic twists by: -4 8 -3 |