Atkin-Lehner |
3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
3843i |
Isogeny class |
Conductor |
3843 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-4466570817681 = -1 · 321 · 7 · 61 |
Discriminant |
Eigenvalues |
-1 3- 1 7- 0 2 -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-399677,97354838] |
[a1,a2,a3,a4,a6] |
j |
-9685513163415099529/6126983289 |
j-invariant |
L |
1.2801855515158 |
L(r)(E,1)/r! |
Ω |
0.64009277575791 |
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 |
61488bd1 1281e1 96075w1 26901l1 |
Quadratic twists by: -4 -3 5 -7 |