Atkin-Lehner |
2- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
123596c |
Isogeny class |
Conductor |
123596 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1617408 |
Modular degree for the optimal curve |
Δ |
-175323288198392576 = -1 · 28 · 11 · 538 |
Discriminant |
Eigenvalues |
2- -3 1 -2 11- 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,89888,17269732] |
[a1,a2,a3,a4,a6] |
Generators |
[4452:297754:1] |
Generators of the group modulo torsion |
j |
14155776/30899 |
j-invariant |
L |
4.1776612168811 |
L(r)(E,1)/r! |
Ω |
0.22281471465896 |
Real period |
R |
1.5624570806698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000176476 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2332b1 |
Quadratic twists by: 53 |