Atkin-Lehner |
3+ 13+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
28509a |
Isogeny class |
Conductor |
28509 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
21015614985417 = 34 · 134 · 173 · 432 |
Discriminant |
Eigenvalues |
-1 3+ 0 -4 2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10713,360918] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:806:1] |
Generators of the group modulo torsion |
j |
135975154375140625/21015614985417 |
j-invariant |
L |
1.8513776463011 |
L(r)(E,1)/r! |
Ω |
0.65249979153972 |
Real period |
R |
1.4186806419757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85527b1 |
Quadratic twists by: -3 |