Atkin-Lehner |
3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
67275m |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
124314991734375 = 37 · 56 · 13 · 234 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49280,-4164028] |
[a1,a2,a3,a4,a6] |
Generators |
[294:2440:1] |
Generators of the group modulo torsion |
j |
1161930075697/10913799 |
j-invariant |
L |
3.6418564133883 |
L(r)(E,1)/r! |
Ω |
0.32061127539028 |
Real period |
R |
0.70994392061348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22425l4 2691c3 |
Quadratic twists by: -3 5 |