Atkin-Lehner |
2+ 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
20350j |
Isogeny class |
Conductor |
20350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-7.8274313841687E+26 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 11+ 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1838824576,-30379979473202] |
[a1,a2,a3,a4,a6] |
Generators |
[15453559542428859010770910997573917761204576861:7211569546156673323179459044996972457906430522751:68097808929252124992877393462289467224741] |
Generators of the group modulo torsion |
j |
-1760291433865547041868154265/2003822434347193991168 |
j-invariant |
L |
4.7409981194107 |
L(r)(E,1)/r! |
Ω |
0.011526696091116 |
Real period |
R |
68.550983472542 |
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 |
20350r2 |
Quadratic twists by: 5 |