Atkin-Lehner |
2- 3+ 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450bs |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
5475824188560000000 = 210 · 36 · 57 · 116 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9583338,11414327031] |
[a1,a2,a3,a4,a6] |
Generators |
[2365:-45733:1] [-2475:142587:1] |
Generators of the group modulo torsion |
j |
6229513141124471200729/350452748067840 |
j-invariant |
L |
13.41109860237 |
L(r)(E,1)/r! |
Ω |
0.22797333475604 |
Real period |
R |
0.49022906622055 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490k1 |
Quadratic twists by: 5 |