Atkin-Lehner |
2- 3+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490bj |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
136249344 |
Modular degree for the optimal curve |
Δ |
4.094439064911E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11181739291,-455099822461591] |
[a1,a2,a3,a4,a6] |
j |
65571879529924849438074899/1736441856000000000 |
j-invariant |
L |
4.2282960701719 |
L(r)(E,1)/r! |
Ω |
0.014681583659581 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83490b1 |
Quadratic twists by: -11 |