Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480bk |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1373858703360 = 211 · 38 · 5 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-232203,-43067482] |
[a1,a2,a3,a4,a6] |
Generators |
[622:7290:1] |
Generators of the group modulo torsion |
j |
927405593024402/920205 |
j-invariant |
L |
4.4843226202537 |
L(r)(E,1)/r! |
Ω |
0.21748666009339 |
Real period |
R |
5.1547099697325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999966 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960bc2 17160e2 |
Quadratic twists by: -4 -3 |