Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600cp |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-418176000000000 = -1 · 216 · 33 · 59 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7125,956250] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-1056:1] |
Generators of the group modulo torsion |
j |
185193/1936 |
j-invariant |
L |
3.9374456519493 |
L(r)(E,1)/r! |
Ω |
0.39067330586127 |
Real period |
R |
1.2598268146537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4950bc1 39600cw1 39600co1 |
Quadratic twists by: -4 -3 5 |