Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18928c |
Isogeny class |
Conductor |
18928 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-40930104656896 = -1 · 210 · 72 · 138 |
Discriminant |
Eigenvalues |
2+ -2 1 7+ -2 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9520,468612] |
[a1,a2,a3,a4,a6] |
Generators |
[56:338:1] |
Generators of the group modulo torsion |
j |
-114244/49 |
j-invariant |
L |
3.1564031280215 |
L(r)(E,1)/r! |
Ω |
0.603575563719 |
Real period |
R |
0.43579231800088 |
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 |
9464h1 75712cc1 18928f1 |
Quadratic twists by: -4 8 13 |