Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728fx |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4354560 |
Modular degree for the optimal curve |
Δ |
-802016216563580928 = -1 · 221 · 36 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -5 13- -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14281491,-20773485614] |
[a1,a2,a3,a4,a6] |
Generators |
[568306238976525:40082411260433822:77690502163] |
Generators of the group modulo torsion |
j |
-2673465150439/6656 |
j-invariant |
L |
3.4581195761962 |
L(r)(E,1)/r! |
Ω |
0.038830779296585 |
Real period |
R |
22.264036666529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11466bc1 10192bj1 91728ek1 |
Quadratic twists by: -4 -3 -7 |