Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200ej |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
4718592 |
Modular degree for the optimal curve |
Δ |
-1.176401538928E+22 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5193700,2544862000] |
[a1,a2,a3,a4,a6] |
Generators |
[-294:31504:1] |
Generators of the group modulo torsion |
j |
60522147178827696/45953185114375 |
j-invariant |
L |
5.6369032211823 |
L(r)(E,1)/r! |
Ω |
0.081401716908538 |
Real period |
R |
4.3279977779768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040313 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200bh1 30800a1 24640bu1 |
Quadratic twists by: -4 8 5 |