Atkin-Lehner |
2+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
126400z |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
20224000000 = 214 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ -3 5+ -1 6 -1 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-700,-2000] |
[a1,a2,a3,a4,a6] |
j |
148176/79 |
j-invariant |
L |
1.9729817705865 |
L(r)(E,1)/r! |
Ω |
0.98649062047812 |
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 |
126400br1 7900c1 5056j1 |
Quadratic twists by: -4 8 5 |