Atkin-Lehner |
2- 3+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45084i |
Isogeny class |
Conductor |
45084 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
-1623024 = -1 · 24 · 33 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 -3 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6,-63] |
[a1,a2,a3,a4,a6] |
Generators |
[4:3:1] |
Generators of the group modulo torsion |
j |
4352/351 |
j-invariant |
L |
5.4452680046773 |
L(r)(E,1)/r! |
Ω |
1.2689331982134 |
Real period |
R |
1.430405743542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999829 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45084q1 |
Quadratic twists by: 17 |