Atkin-Lehner |
2+ 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150r |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1095222947841000000 = 26 · 34 · 56 · 114 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-553601,150287348] |
[a1,a2,a3,a4,a6] |
j |
1200862149227882497/70094268661824 |
j-invariant |
L |
2.1703146958139 |
L(r)(E,1)/r! |
Ω |
0.27128933715362 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2046g3 |
Quadratic twists by: 5 |