Atkin-Lehner |
2+ 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55506d |
Isogeny class |
Conductor |
55506 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1149562688044452 = 22 · 3 · 115 · 296 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 11+ 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8464682,-9482561760] |
[a1,a2,a3,a4,a6] |
Generators |
[-57675406425:28446626859:34328125] |
Generators of the group modulo torsion |
j |
112763292123580561/1932612 |
j-invariant |
L |
2.109080127443 |
L(r)(E,1)/r! |
Ω |
0.088510926464778 |
Real period |
R |
11.91423596875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66c3 |
Quadratic twists by: 29 |