Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150dv |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-64627200 = -1 · 29 · 33 · 52 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ -3 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,100,-33] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-27:1] |
Generators of the group modulo torsion |
j |
165380805/95744 |
j-invariant |
L |
9.5789178573317 |
L(r)(E,1)/r! |
Ω |
1.1686139498586 |
Real period |
R |
0.45537887265611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002411 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150i1 84150v1 |
Quadratic twists by: -3 5 |