Atkin-Lehner |
2+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
126400n |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
31953920000000 = 216 · 57 · 792 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 -4 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8033,-55937] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:79:1] |
Generators of the group modulo torsion |
j |
55990084/31205 |
j-invariant |
L |
2.8083343547713 |
L(r)(E,1)/r! |
Ω |
0.54113870731368 |
Real period |
R |
2.594837872743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997524577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126400cf2 15800c2 25280d2 |
Quadratic twists by: -4 8 5 |