Atkin-Lehner |
2+ 3- 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
29370k |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5667200 |
Modular degree for the optimal curve |
Δ |
-3.7485395664347E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -3 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9461139,-93823179314] |
[a1,a2,a3,a4,a6] |
Generators |
[2583140:174299586:343] |
Generators of the group modulo torsion |
j |
-93659948635834293690161449/3748539566434738927500000 |
j-invariant |
L |
3.7348670664463 |
L(r)(E,1)/r! |
Ω |
0.034367124261652 |
Real period |
R |
10.867557721767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88110cq1 |
Quadratic twists by: -3 |