Atkin-Lehner |
2+ 3+ 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48906b |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
312576 |
Modular degree for the optimal curve |
Δ |
-10867916622790656 = -1 · 222 · 33 · 112 · 133 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11+ 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,27042,4707860] |
[a1,a2,a3,a4,a6] |
j |
80996702706474309/402515430473728 |
j-invariant |
L |
1.1640914122905 |
L(r)(E,1)/r! |
Ω |
0.29102285302584 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48906x1 |
Quadratic twists by: -3 |