Atkin-Lehner |
2+ 3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44850d |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-1259388000000 = -1 · 28 · 34 · 56 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,825,-52875] |
[a1,a2,a3,a4,a6] |
j |
3966822287/80600832 |
j-invariant |
L |
1.674470118092 |
L(r)(E,1)/r! |
Ω |
0.4186175295653 |
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 |
1794j1 |
Quadratic twists by: 5 |