Atkin-Lehner |
2+ 3- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6042h |
Isogeny class |
Conductor |
6042 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9504 |
Modular degree for the optimal curve |
Δ |
114038931456 = 222 · 33 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 0 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7604,-255310] |
[a1,a2,a3,a4,a6] |
Generators |
[225:2959:1] |
Generators of the group modulo torsion |
j |
48614736127265209/114038931456 |
j-invariant |
L |
3.2936206383472 |
L(r)(E,1)/r! |
Ω |
0.5113368430942 |
Real period |
R |
1.0735326047232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48336w1 18126q1 114798r1 |
Quadratic twists by: -4 -3 -19 |