Atkin-Lehner |
2+ 3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160d |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-19307185920 = -1 · 28 · 38 · 5 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- -2 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1156,-16160] |
[a1,a2,a3,a4,a6] |
Generators |
[2196:102872:1] |
Generators of the group modulo torsion |
j |
-667932971344/75418695 |
j-invariant |
L |
4.7276078072817 |
L(r)(E,1)/r! |
Ω |
0.40676798442689 |
Real period |
R |
5.8111847395537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080q1 |
Quadratic twists by: -4 |