Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
5922r |
Isogeny class |
Conductor |
5922 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-47008836 = -1 · 22 · 36 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,31,-331] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] |
Generators of the group modulo torsion |
j |
4657463/64484 |
j-invariant |
L |
5.0148715071391 |
L(r)(E,1)/r! |
Ω |
0.98680059326996 |
Real period |
R |
0.84699170587939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47376bg1 658c1 41454br1 |
Quadratic twists by: -4 -3 -7 |