Atkin-Lehner |
2+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10478a |
Isogeny class |
Conductor |
10478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4.8187045010942E+21 |
Discriminant |
Eigenvalues |
2+ 1 -3 1 0 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4334685,-4819132680] |
[a1,a2,a3,a4,a6] |
Generators |
[57453730422:16937052814994:658503] |
Generators of the group modulo torsion |
j |
-1866105028152018577/998320940624384 |
j-invariant |
L |
3.097337732577 |
L(r)(E,1)/r! |
Ω |
0.05103748778382 |
Real period |
R |
15.171875943896 |
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 |
83824ba2 94302ca2 806e2 |
Quadratic twists by: -4 -3 13 |