Atkin-Lehner |
2+ 3+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
90246f |
Isogeny class |
Conductor |
90246 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-67015416156 = -1 · 22 · 3 · 137 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -5 -1 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1011,1929] |
[a1,a2,a3,a4,a6] |
Generators |
[5:82:1] [8:99:1] |
Generators of the group modulo torsion |
j |
23639903/13884 |
j-invariant |
L |
4.529743176648 |
L(r)(E,1)/r! |
Ω |
0.66754750657265 |
Real period |
R |
0.84820614488378 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6942j1 |
Quadratic twists by: 13 |