Atkin-Lehner |
2- 3- 7+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
98532o |
Isogeny class |
Conductor |
98532 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
668928 |
Modular degree for the optimal curve |
Δ |
-13844189132299008 = -1 · 28 · 319 · 7 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -5 2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3984,-5660156] |
[a1,a2,a3,a4,a6] |
Generators |
[560:13122:1] |
Generators of the group modulo torsion |
j |
37472632832/74182254867 |
j-invariant |
L |
4.0960312201974 |
L(r)(E,1)/r! |
Ω |
0.18426064393435 |
Real period |
R |
0.92623125488683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32844b1 |
Quadratic twists by: -3 |