Atkin-Lehner |
2- 3+ 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990bp |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-1392158466043916130 = -1 · 2 · 39 · 5 · 713 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -3 -3 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,276883,8753239] |
[a1,a2,a3,a4,a6] |
Generators |
[33214203933599656:-3223185414984154783:676466195106304] |
Generators of the group modulo torsion |
j |
119267678422756053/70728977597110 |
j-invariant |
L |
9.0435053144272 |
L(r)(E,1)/r! |
Ω |
0.16470387286958 |
Real period |
R |
27.453833224639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45990c1 |
Quadratic twists by: -3 |