Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
101400bn |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-506188800 = -1 · 210 · 32 · 52 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1928,31968] |
[a1,a2,a3,a4,a6] |
Generators |
[4:156:1] |
Generators of the group modulo torsion |
j |
-14099380/9 |
j-invariant |
L |
8.0904614859508 |
L(r)(E,1)/r! |
Ω |
1.6355958733821 |
Real period |
R |
0.61831146882481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999988818 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101400cr1 101400dk1 |
Quadratic twists by: 5 13 |