Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55506q |
Isogeny class |
Conductor |
55506 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1410826935327282 = -1 · 2 · 34 · 114 · 296 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10110,-1849862] |
[a1,a2,a3,a4,a6] |
Generators |
[158:630:1] |
Generators of the group modulo torsion |
j |
-192100033/2371842 |
j-invariant |
L |
4.7288212839385 |
L(r)(E,1)/r! |
Ω |
0.20467201461715 |
Real period |
R |
2.8880482835783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66b4 |
Quadratic twists by: 29 |