Atkin-Lehner |
2- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20216h |
Isogeny class |
Conductor |
20216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
54720 |
Modular degree for the optimal curve |
Δ |
4806755946115984 = 24 · 72 · 1910 |
Discriminant |
Eigenvalues |
2- 1 1 7+ 0 -1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43440,994301] |
[a1,a2,a3,a4,a6] |
Generators |
[10:749:1] |
Generators of the group modulo torsion |
j |
92416/49 |
j-invariant |
L |
6.1275088010968 |
L(r)(E,1)/r! |
Ω |
0.37976116152716 |
Real period |
R |
4.033791117854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40432l1 20216a1 |
Quadratic twists by: -4 -19 |