Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108300z |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
9680630933370000 = 24 · 3 · 54 · 199 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 6 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57158,2311737] |
[a1,a2,a3,a4,a6] |
Generators |
[1092:6859:27] |
Generators of the group modulo torsion |
j |
6400/3 |
j-invariant |
L |
6.027631000718 |
L(r)(E,1)/r! |
Ω |
0.36513144337928 |
Real period |
R |
2.7513521025096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108300bk1 108300cn1 |
Quadratic twists by: 5 -19 |