Atkin-Lehner |
2+ 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54288m |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
-15197165568 = -1 · 211 · 39 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 -1 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6267,191050] |
[a1,a2,a3,a4,a6] |
Generators |
[47:18:1] |
Generators of the group modulo torsion |
j |
-18232461938/10179 |
j-invariant |
L |
5.0445977598176 |
L(r)(E,1)/r! |
Ω |
1.2296077699098 |
Real period |
R |
1.0256518142037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27144o1 18096p1 |
Quadratic twists by: -4 -3 |