Atkin-Lehner |
2- 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19824s |
Isogeny class |
Conductor |
19824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-20398896 = -1 · 24 · 32 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29,-216] |
[a1,a2,a3,a4,a6] |
Generators |
[36:210:1] |
Generators of the group modulo torsion |
j |
-174456832/1274931 |
j-invariant |
L |
4.0449187635616 |
L(r)(E,1)/r! |
Ω |
0.90813014970293 |
Real period |
R |
2.2270589545369 |
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 |
4956b1 79296cj1 59472bl1 |
Quadratic twists by: -4 8 -3 |