Atkin-Lehner |
2- 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45012a |
Isogeny class |
Conductor |
45012 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
152037064811520768 = 28 · 3 · 118 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1787936212,29099467325128] |
[a1,a2,a3,a4,a6] |
Generators |
[1682692398:33394790:68921] |
Generators of the group modulo torsion |
j |
1393746203803968446127568/335238123 |
j-invariant |
L |
5.977029903711 |
L(r)(E,1)/r! |
Ω |
0.13289109381829 |
Real period |
R |
7.4961505846359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4092a2 |
Quadratic twists by: -11 |