Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976d |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4.0578145806237E+30 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5083636929,-100349488044351] |
[a1,a2,a3,a4,a6] |
Generators |
[6485655449397824848346304658857683071101305132069762428104743554990719778631596712091132760178359419494756248276033971140618905669420274526190860448:-1629992066124336641725451289280893353595732680772267423393272261181006810306513965245757938501260363022882019750729771326108004951047929541486915966125:56410759992044571367286179840226697916901832498639218790268318823404085046979836091651160933878526546134059123453445735705954342343175973619971] |
Generators of the group modulo torsion |
j |
55425212630542527476751037873/15479334185118626660294016 |
j-invariant |
L |
4.2187084231009 |
L(r)(E,1)/r! |
Ω |
0.018257004328923 |
Real period |
R |
231.0734196638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976bw3 1218h4 116928bk3 |
Quadratic twists by: -4 8 -3 |