Atkin-Lehner |
2+ 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21450c |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.9637444032591E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-88733055275,-10173674653051875] |
[a1,a2,a3,a4,a6] |
Generators |
[3046704177436099014237385018654573798334348658205170822414662296891397288793972083159541025719686220628930751903204284434956132804314575:1338459953457871342787725034386719334460318201958357785635953982154778113958952877409848797626886717957716557976983757295003804306443586525:6853760435297887664868331196805221394284859629933658892324764143944427002057085051687251132042217906761430604202244245604213321379] |
Generators of the group modulo torsion |
j |
4944928228995290413834018379264689/189679641808585500000 |
j-invariant |
L |
3.6918843953729 |
L(r)(E,1)/r! |
Ω |
0.0087473840772974 |
Real period |
R |
211.02791204485 |
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 |
64350ej4 4290y4 |
Quadratic twists by: -3 5 |