Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472y |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.8374791964085E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1417217,615293535] |
[a1,a2,a3,a4,a6] |
Generators |
[8138:120615:8] |
Generators of the group modulo torsion |
j |
1200862149227882497/70094268661824 |
j-invariant |
L |
9.7308984657066 |
L(r)(E,1)/r! |
Ω |
0.2144730525807 |
Real period |
R |
5.6713992437552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65472bj3 2046g3 |
Quadratic twists by: -4 8 |