Atkin-Lehner |
2+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
126400q |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
1294336000000 = 220 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 0 5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74433,7791263] |
[a1,a2,a3,a4,a6] |
j |
11134383337/316 |
j-invariant |
L |
3.1976184731329 |
L(r)(E,1)/r! |
Ω |
0.79940501102841 |
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 |
126400bl1 3950h1 5056i1 |
Quadratic twists by: -4 8 5 |