Atkin-Lehner |
2+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38686b |
Isogeny class |
Conductor |
38686 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-1.6379983704203E+20 |
Discriminant |
Eigenvalues |
2+ 2 3 2 3 -4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-114240616,-470027510112] |
[a1,a2,a3,a4,a6] |
Generators |
[461333710026704680502986044874589602230756780319761639678851462433536842364051947429050508369943026839158304759255979126131074835823603359479226460240162406820076389968684447739857626965929627079260679346367016209528654453149335:-58524995490097667273874629559464835359466585747713117327218235307665969723679745924191324679555151937975728369677985956493094539039282695816125761089299122046512821881275382615514120867576229855832467111172209124977842000820746611:20876737104212308494744976170460060097144909984881847987921776445229102567553737755602855591656543166879745881526380072572872311318448181484542527386893921546345529727388757837993101149371670909331935170853864596680949229125] |
Generators of the group modulo torsion |
j |
-391927148439457/389344 |
j-invariant |
L |
8.1519275502083 |
L(r)(E,1)/r! |
Ω |
0.023089493096464 |
Real period |
R |
353.05788291458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38686g2 |
Quadratic twists by: 29 |