Atkin-Lehner |
3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29925bl |
Isogeny class |
Conductor |
29925 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-561199235625 = -1 · 39 · 54 · 74 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -3 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1355,41172] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:90:1] [14:150:1] |
Generators of the group modulo torsion |
j |
-603439225/1231713 |
j-invariant |
L |
5.5761184695275 |
L(r)(E,1)/r! |
Ω |
0.82000008757835 |
Real period |
R |
0.14166966143249 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9975h1 29925o1 |
Quadratic twists by: -3 5 |