Atkin-Lehner |
5+ 23+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
59225a |
Isogeny class |
Conductor |
59225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34176 |
Modular degree for the optimal curve |
Δ |
-19063046875 = -1 · 57 · 23 · 1032 |
Discriminant |
Eigenvalues |
0 -2 5+ -1 4 -2 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,617,3269] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:51:1] |
Generators of the group modulo torsion |
j |
1659797504/1220035 |
j-invariant |
L |
3.1071213799155 |
L(r)(E,1)/r! |
Ω |
0.77858227239526 |
Real period |
R |
0.99768563005015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11845c1 |
Quadratic twists by: 5 |