Atkin-Lehner |
2+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
57152g |
Isogeny class |
Conductor |
57152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-22004891648 = -1 · 219 · 19 · 472 |
Discriminant |
Eigenvalues |
2+ -1 -2 1 -4 -5 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1889,-31775] |
[a1,a2,a3,a4,a6] |
Generators |
[137:1504:1] |
Generators of the group modulo torsion |
j |
-2845178713/83942 |
j-invariant |
L |
2.6286103291266 |
L(r)(E,1)/r! |
Ω |
0.3614411488039 |
Real period |
R |
0.90907272796488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999666 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57152j1 1786a1 |
Quadratic twists by: -4 8 |