Atkin-Lehner |
2+ 3+ 5- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
81090d |
Isogeny class |
Conductor |
81090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-493952222822400 = -1 · 216 · 39 · 52 · 172 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2904,-1070272] |
[a1,a2,a3,a4,a6] |
Generators |
[168880:6114984:125] |
Generators of the group modulo torsion |
j |
-137627865747/25095372800 |
j-invariant |
L |
5.8666530559369 |
L(r)(E,1)/r! |
Ω |
0.23332560223767 |
Real period |
R |
6.2859079744409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001618 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81090w1 |
Quadratic twists by: -3 |