Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728ez |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-1.1686931204731E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -5 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156555,-520671942] |
[a1,a2,a3,a4,a6] |
Generators |
[3493:203840:1] |
Generators of the group modulo torsion |
j |
-1207949625/332678528 |
j-invariant |
L |
5.6915444106834 |
L(r)(E,1)/r! |
Ω |
0.083514491690731 |
Real period |
R |
1.7037595213191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11466cg1 10192bl1 13104bp1 |
Quadratic twists by: -4 -3 -7 |