Atkin-Lehner |
2- 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530cd |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-9719377920 = -1 · 212 · 37 · 5 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,418,3309] |
[a1,a2,a3,a4,a6] |
Generators |
[9:83:1] |
Generators of the group modulo torsion |
j |
11104492391/13332480 |
j-invariant |
L |
7.9728372106515 |
L(r)(E,1)/r! |
Ω |
0.86405644082039 |
Real period |
R |
1.5378696795705 |
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 |
6510b1 97650bw1 |
Quadratic twists by: -3 5 |