Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976d |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7.9531086744467E+23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-74816971969,-7876747601533247] |
[a1,a2,a3,a4,a6] |
Generators |
[8972634279774929213796985550329055638058597309208878935620146083945663641417507212914243812282158416736778091006015195496156605090317471922925898597:-5175642253883580357544329912379487572116154500453697005730037143155867062981856952737535002399266050010699093992339679533642289286734387972175785350052:17600469545752995358693452956334308143543405058423353770111864168505388487540790210296586075164880257498978614239891100771830642689251981110679] |
Generators of the group modulo torsion |
j |
176678690562294721133446471910833/3033870191363023488 |
j-invariant |
L |
4.2187084231009 |
L(r)(E,1)/r! |
Ω |
0.0091285021644614 |
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 |
38976bw4 1218h3 116928bk4 |
Quadratic twists by: -4 8 -3 |