Atkin-Lehner |
2+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
28480y |
Isogeny class |
Conductor |
28480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-955630223360 = -1 · 231 · 5 · 89 |
Discriminant |
Eigenvalues |
2+ 3 5- 0 -3 4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,788,46256] |
[a1,a2,a3,a4,a6] |
Generators |
[7095:115813:27] |
Generators of the group modulo torsion |
j |
206425071/3645440 |
j-invariant |
L |
10.323816977986 |
L(r)(E,1)/r! |
Ω |
0.65680205493137 |
Real period |
R |
7.8591539874711 |
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 |
28480bv1 890f1 |
Quadratic twists by: -4 8 |