Atkin-Lehner |
2+ 3- 11+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
74646j |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
-2524261196755584 = -1 · 27 · 36 · 114 · 133 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 11+ 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13770,2499444] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:1781:1] |
Generators of the group modulo torsion |
j |
-396109944105121/3462635386496 |
j-invariant |
L |
2.1133370790064 |
L(r)(E,1)/r! |
Ω |
0.39108207609116 |
Real period |
R |
1.3509549572301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8294f1 |
Quadratic twists by: -3 |