Atkin-Lehner |
2- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
104188g |
Isogeny class |
Conductor |
104188 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1537200 |
Modular degree for the optimal curve |
Δ |
-2.0955909798359E+19 |
Discriminant |
Eigenvalues |
2- -2 2 7- -2 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,605283,-124923617] |
[a1,a2,a3,a4,a6] |
j |
8192/7 |
j-invariant |
L |
0.71320452828863 |
L(r)(E,1)/r! |
Ω |
0.11886741214017 |
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 |
104188d1 |
Quadratic twists by: 61 |