Atkin-Lehner |
2- 3+ 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
73260a |
Isogeny class |
Conductor |
73260 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
53646260340499200 = 28 · 33 · 52 · 112 · 376 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-557583,159867382] |
[a1,a2,a3,a4,a6] |
Generators |
[3131:170610:1] |
Generators of the group modulo torsion |
j |
2773630186458788592/7761322387225 |
j-invariant |
L |
6.4772908453207 |
L(r)(E,1)/r! |
Ω |
0.35554673378048 |
Real period |
R |
4.5544581271781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000445 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
73260e4 |
Quadratic twists by: -3 |