Atkin-Lehner |
2- 3+ 5- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
81090ba |
Isogeny class |
Conductor |
81090 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
844800 |
Modular degree for the optimal curve |
Δ |
37918551105100800 = 210 · 39 · 52 · 175 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 4 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-164702,24002029] |
[a1,a2,a3,a4,a6] |
Generators |
[397:-4789:1] |
Generators of the group modulo torsion |
j |
25103054346465627/1926461977600 |
j-invariant |
L |
13.143067905818 |
L(r)(E,1)/r! |
Ω |
0.35683532418095 |
Real period |
R |
0.18416153078544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984185 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81090a1 |
Quadratic twists by: -3 |