Atkin-Lehner |
2+ 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800p |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
35481600 |
Modular degree for the optimal curve |
Δ |
-2.9053516079224E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 13+ 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-95159208,894566954412] |
[a1,a2,a3,a4,a6] |
Generators |
[24586:6355525:8] |
Generators of the group modulo torsion |
j |
-119120411792671966610/363168950990295879 |
j-invariant |
L |
4.9823634696664 |
L(r)(E,1)/r! |
Ω |
0.048128343690421 |
Real period |
R |
4.3134349143743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999931358 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85800cz1 |
Quadratic twists by: 5 |