Atkin-Lehner |
3+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
56265f |
Isogeny class |
Conductor |
56265 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
37378829874375 = 32 · 54 · 118 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5- 2 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22085,1219340] |
[a1,a2,a3,a4,a6] |
Generators |
[138:-977:1] |
Generators of the group modulo torsion |
j |
672451615081/21099375 |
j-invariant |
L |
3.6986267783207 |
L(r)(E,1)/r! |
Ω |
0.64607951803208 |
Real period |
R |
0.71559047206887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997293 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5115d2 |
Quadratic twists by: -11 |