Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728dp |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
11363667968016 = 24 · 36 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -1 13- 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38073,-2854789] |
[a1,a2,a3,a4,a6] |
j |
90770176/169 |
j-invariant |
L |
2.0509028841937 |
L(r)(E,1)/r! |
Ω |
0.3418171529848 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22932i1 10192o1 91728dv1 |
Quadratic twists by: -4 -3 -7 |