Atkin-Lehner |
2- 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
29150p |
Isogeny class |
Conductor |
29150 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-93892733000000 = -1 · 26 · 56 · 116 · 53 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11- -5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7888,535281] |
[a1,a2,a3,a4,a6] |
Generators |
[65:517:1] [-85:817:1] |
Generators of the group modulo torsion |
j |
-3473824173625/6009134912 |
j-invariant |
L |
9.5267244809438 |
L(r)(E,1)/r! |
Ω |
0.53799283069577 |
Real period |
R |
0.24594308741953 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1166c1 |
Quadratic twists by: 5 |