Atkin-Lehner |
2- 3- 11- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
74646by |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-310222996732306944 = -1 · 29 · 310 · 115 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 11- 13- -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-347198,83264973] |
[a1,a2,a3,a4,a6] |
Generators |
[-5378:30999:8] [1151:-35325:1] |
Generators of the group modulo torsion |
j |
-6349311810814878361/425545948878336 |
j-invariant |
L |
13.887571049215 |
L(r)(E,1)/r! |
Ω |
0.30116296266637 |
Real period |
R |
0.085394711014612 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24882c1 |
Quadratic twists by: -3 |