Atkin-Lehner |
2- 3- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
41652f |
Isogeny class |
Conductor |
41652 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11692800 |
Modular degree for the optimal curve |
Δ |
-3.2855633406166E+25 |
Discriminant |
Eigenvalues |
2- 3- -4 0 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33148632,285396162100] |
[a1,a2,a3,a4,a6] |
Generators |
[46792881667:-7680876285069:1685159] |
Generators of the group modulo torsion |
j |
-21585049530767737298944/176052562404438754827 |
j-invariant |
L |
3.727661182673 |
L(r)(E,1)/r! |
Ω |
0.056245637098893 |
Real period |
R |
8.2843340722564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13884f1 |
Quadratic twists by: -3 |