Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
19350bn |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-2256984000 = -1 · 26 · 38 · 53 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,243,1701] |
[a1,a2,a3,a4,a6] |
Generators |
[3:48:1] [9:63:1] |
Generators of the group modulo torsion |
j |
17373979/24768 |
j-invariant |
L |
5.0980932920551 |
L(r)(E,1)/r! |
Ω |
0.98775423586596 |
Real period |
R |
1.2903243304207 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6450bo1 19350cq1 |
Quadratic twists by: -3 5 |