Atkin-Lehner |
2+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10850i |
Isogeny class |
Conductor |
10850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2575179687500 = 22 · 59 · 73 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 6 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22866650,-42096913000] |
[a1,a2,a3,a4,a6] |
j |
84627468364197487202209/164811500 |
j-invariant |
L |
2.4854293175123 |
L(r)(E,1)/r! |
Ω |
0.06903970326423 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86800bz4 97650do4 2170n4 75950r4 |
Quadratic twists by: -4 -3 5 -7 |