Atkin-Lehner |
2+ 7+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
57722d |
Isogeny class |
Conductor |
57722 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
9806110974632 = 23 · 78 · 193 · 31 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 3 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-270506,-54174060] |
[a1,a2,a3,a4,a6] |
Generators |
[-300:159:1] |
Generators of the group modulo torsion |
j |
379723776609625/1701032 |
j-invariant |
L |
2.6763914534813 |
L(r)(E,1)/r! |
Ω |
0.20934164769629 |
Real period |
R |
1.4205335223733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57722g2 |
Quadratic twists by: -7 |