Atkin-Lehner |
3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
6489f |
Isogeny class |
Conductor |
6489 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
100928 |
Modular degree for the optimal curve |
Δ |
-610895087408403 = -1 · 325 · 7 · 103 |
Discriminant |
Eigenvalues |
0 3- -4 7- 5 0 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1096122,441710811] |
[a1,a2,a3,a4,a6] |
j |
-199789595306121723904/837990517707 |
j-invariant |
L |
0.90595458362201 |
L(r)(E,1)/r! |
Ω |
0.452977291811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103824bs1 2163d1 45423e1 |
Quadratic twists by: -4 -3 -7 |