Atkin-Lehner |
2- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
29524g |
Isogeny class |
Conductor |
29524 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-19019478896 = -1 · 24 · 117 · 61 |
Discriminant |
Eigenvalues |
2- -1 -2 -1 11- -2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4154,-101891] |
[a1,a2,a3,a4,a6] |
Generators |
[75:53:1] |
Generators of the group modulo torsion |
j |
-279738112/671 |
j-invariant |
L |
2.804984458568 |
L(r)(E,1)/r! |
Ω |
0.29729103626401 |
Real period |
R |
4.7175732134706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118096x1 2684b1 |
Quadratic twists by: -4 -11 |