Atkin-Lehner |
2- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44954x |
Isogeny class |
Conductor |
44954 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
69696 |
Modular degree for the optimal curve |
Δ |
-42856626176 = -1 · 211 · 73 · 132 · 192 |
Discriminant |
Eigenvalues |
2- -3 1 7- -4 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,423,9273] |
[a1,a2,a3,a4,a6] |
Generators |
[63:500:1] |
Generators of the group modulo torsion |
j |
49638687111/253589504 |
j-invariant |
L |
5.3068120986279 |
L(r)(E,1)/r! |
Ω |
0.82166896981852 |
Real period |
R |
0.097857223373268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44954e1 |
Quadratic twists by: 13 |