Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728gc |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-4797216139113216 = -1 · 28 · 36 · 711 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -2 13- -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-257544,-50416884] |
[a1,a2,a3,a4,a6] |
Generators |
[1722:67914:1] |
Generators of the group modulo torsion |
j |
-86044336128/218491 |
j-invariant |
L |
3.2807822823902 |
L(r)(E,1)/r! |
Ω |
0.10594748166722 |
Real period |
R |
3.8707648196704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22932z1 10192bg1 13104bu1 |
Quadratic twists by: -4 -3 -7 |