Atkin-Lehner |
2- 7- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
124558w |
Isogeny class |
Conductor |
124558 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
413952 |
Modular degree for the optimal curve |
Δ |
-269166952240256 = -1 · 27 · 79 · 31 · 412 |
Discriminant |
Eigenvalues |
2- 1 1 7- -2 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5195,-802831] |
[a1,a2,a3,a4,a6] |
j |
-384240583/6670208 |
j-invariant |
L |
6.6321109618743 |
L(r)(E,1)/r! |
Ω |
0.23686114769828 |
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 |
124558bb1 |
Quadratic twists by: -7 |