Atkin-Lehner |
2- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
41236d |
Isogeny class |
Conductor |
41236 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
3.9702348579734E+20 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 6 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20706556,36254184369] |
[a1,a2,a3,a4,a6] |
Generators |
[4112:143655:1] |
Generators of the group modulo torsion |
j |
12713561533627711488/5140863842413 |
j-invariant |
L |
4.4065175744811 |
L(r)(E,1)/r! |
Ω |
0.16581754238603 |
Real period |
R |
4.4290826240625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3172a1 |
Quadratic twists by: 13 |