Atkin-Lehner |
3+ 5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
121605f |
Isogeny class |
Conductor |
121605 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1530047410546875 = 3 · 58 · 117 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1428407,656494326] |
[a1,a2,a3,a4,a6] |
Generators |
[-1314:16992:1] |
Generators of the group modulo torsion |
j |
181938238527312721/863671875 |
j-invariant |
L |
3.8856972539803 |
L(r)(E,1)/r! |
Ω |
0.42124260967599 |
Real period |
R |
4.6121844755867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011256 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11055d3 |
Quadratic twists by: -11 |