Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150cd |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-67096512000000 = -1 · 212 · 34 · 56 · 7 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22638,1359531] |
[a1,a2,a3,a4,a6] |
Generators |
[25:887:1] |
Generators of the group modulo torsion |
j |
-82114348569625/4294176768 |
j-invariant |
L |
8.8284695489601 |
L(r)(E,1)/r! |
Ω |
0.61117053674939 |
Real period |
R |
0.60188257737239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1806c1 |
Quadratic twists by: 5 |