Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728dl |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
4732889616 = 24 · 36 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -5 13+ 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-441,1323] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:559:8] |
Generators of the group modulo torsion |
j |
338688/169 |
j-invariant |
L |
8.3307447329707 |
L(r)(E,1)/r! |
Ω |
1.2151912157151 |
Real period |
R |
3.4277505581631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22932g1 10192n1 91728gd1 |
Quadratic twists by: -4 -3 -7 |