Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400w |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
2152828125000000 = 26 · 39 · 512 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47325,3274000] |
[a1,a2,a3,a4,a6] |
j |
16079333824/2953125 |
j-invariant |
L |
3.5250609696028 |
L(r)(E,1)/r! |
Ω |
0.44063262117152 |
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 |
50400bl1 100800lp2 16800bs1 10080bq1 |
Quadratic twists by: -4 8 -3 5 |