Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400bt |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
2187000000 = 26 · 37 · 56 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-975,-11500] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:2:1] [80:650:1] |
Generators of the group modulo torsion |
j |
140608/3 |
j-invariant |
L |
6.1135171821824 |
L(r)(E,1)/r! |
Ω |
0.85548427253571 |
Real period |
R |
7.1462648448937 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14400bq1 7200bq2 4800h1 576b1 |
Quadratic twists by: -4 8 -3 5 |