Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040dh |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-7768105735799439360 = -1 · 228 · 33 · 5 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,493640,12851540] |
[a1,a2,a3,a4,a6] |
Generators |
[1190986:95895552:12167] |
Generators of the group modulo torsion |
j |
1833318007919/1070530560 |
j-invariant |
L |
6.8084737802841 |
L(r)(E,1)/r! |
Ω |
0.14155662890493 |
Real period |
R |
8.0161956301564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3630d1 116160fc1 87120ed1 2640v1 |
Quadratic twists by: -4 8 -3 -11 |