Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400ck |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
4725000000 = 26 · 33 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-825,-8500] |
[a1,a2,a3,a4,a6] |
Generators |
[40:150:1] |
Generators of the group modulo torsion |
j |
2299968/175 |
j-invariant |
L |
6.7046946286127 |
L(r)(E,1)/r! |
Ω |
0.89510051444734 |
Real period |
R |
1.8726094221762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400b1 100800r2 50400h1 10080b1 |
Quadratic twists by: -4 8 -3 5 |