Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970cd |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6.2105824649558E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2684327,1195609511] |
[a1,a2,a3,a4,a6] |
Generators |
[3145:152872:1] |
Generators of the group modulo torsion |
j |
2934284984699764805929/851931751022747640 |
j-invariant |
L |
6.9871050901316 |
L(r)(E,1)/r! |
Ω |
0.15104962250005 |
Real period |
R |
7.7095029815221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760ff3 3990l3 59850cl3 83790dx3 |
Quadratic twists by: -4 -3 5 -7 |