Atkin-Lehner |
3+ 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
53475h |
Isogeny class |
Conductor |
53475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1681153734375 = 38 · 56 · 232 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 0 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3163,26906] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:297:1] |
Generators of the group modulo torsion |
j |
223980311017/107593839 |
j-invariant |
L |
3.1674759731389 |
L(r)(E,1)/r! |
Ω |
0.74893192451544 |
Real period |
R |
1.057331070252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2139f2 |
Quadratic twists by: 5 |