Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
13254i |
Isogeny class |
Conductor |
13254 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-168085392414732288 = -1 · 212 · 34 · 477 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,128076,8876277] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:563:1] |
Generators of the group modulo torsion |
j |
21554582687/15593472 |
j-invariant |
L |
5.1602487703652 |
L(r)(E,1)/r! |
Ω |
0.20491155176635 |
Real period |
R |
4.1971350776173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
106032bl1 39762j1 282a1 |
Quadratic twists by: -4 -3 -47 |