Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040dk |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
119 |
Product of Tamagawa factors cp |
deg |
342720 |
Modular degree for the optimal curve |
Δ |
-19532449653750000 = -1 · 24 · 317 · 57 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -4 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-272950,55206875] |
[a1,a2,a3,a4,a6] |
Generators |
[335:-1215:1] |
Generators of the group modulo torsion |
j |
-1161633816071508736/10089075234375 |
j-invariant |
L |
7.7098190636334 |
L(r)(E,1)/r! |
Ω |
0.38742160754807 |
Real period |
R |
0.16722969042112 |
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 |
7260h1 116160fl1 87120ei1 29040dl1 |
Quadratic twists by: -4 8 -3 -11 |