Atkin-Lehner |
2+ 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
48216a |
Isogeny class |
Conductor |
48216 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1020096 |
Modular degree for the optimal curve |
Δ |
-3515732209290663936 = -1 · 211 · 311 · 78 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ -3 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-310872,112304844] |
[a1,a2,a3,a4,a6] |
j |
-281420453426/297784107 |
j-invariant |
L |
0.45459839006157 |
L(r)(E,1)/r! |
Ω |
0.22729919500207 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96432j1 48216g1 |
Quadratic twists by: -4 -7 |