Atkin-Lehner |
11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29887d |
Isogeny class |
Conductor |
29887 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
328757 = 113 · 13 · 19 |
Discriminant |
Eigenvalues |
-2 -2 0 1 11+ 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-18,6] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:5:1] [-3:6:1] |
Generators of the group modulo torsion |
j |
512000/247 |
j-invariant |
L |
3.3357149774829 |
L(r)(E,1)/r! |
Ω |
2.7117884605657 |
Real period |
R |
0.61503967326184 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29887b1 |
Quadratic twists by: -11 |