Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55506q |
Isogeny class |
Conductor |
55506 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
39258339186 = 2 · 3 · 11 · 296 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-296050,-62025094] |
[a1,a2,a3,a4,a6] |
Generators |
[620256:-25320497:343] |
Generators of the group modulo torsion |
j |
4824238966273/66 |
j-invariant |
L |
4.7288212839385 |
L(r)(E,1)/r! |
Ω |
0.20467201461715 |
Real period |
R |
11.552193134313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999998696 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66b3 |
Quadratic twists by: 29 |