Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728gf |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-26037460979712 = -1 · 212 · 310 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -5 13- 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2877,238210] |
[a1,a2,a3,a4,a6] |
Generators |
[95:1170:1] |
Generators of the group modulo torsion |
j |
17999471/177957 |
j-invariant |
L |
8.968982110237 |
L(r)(E,1)/r! |
Ω |
0.49163139875703 |
Real period |
R |
1.5202755100635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004609 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5733j1 30576dg1 91728dn1 |
Quadratic twists by: -4 -3 -7 |