Atkin-Lehner |
2+ 3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650a |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
112492800 |
Modular degree for the optimal curve |
Δ |
-1.5314432344656E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 11+ 0 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20026884625,-1090867935312875] |
[a1,a2,a3,a4,a6] |
Generators |
[10262529927877838758707567688171913643282887309914236150710850797643302725293150212376150930:8760324737372485977490498542583988458178234519979278713769678130753040617422004638696774868535:13541654893563679261103993990367344923441638163808909179943908324861216804881766295497] |
Generators of the group modulo torsion |
j |
-56851754726231151287910819578641/98012367005801250816000 |
j-invariant |
L |
3.4376159167607 |
L(r)(E,1)/r! |
Ω |
0.0063455046270134 |
Real period |
R |
135.43508825628 |
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 |
13530u1 |
Quadratic twists by: 5 |