Atkin-Lehner |
2- 3- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
52632r |
Isogeny class |
Conductor |
52632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-144948528 = -1 · 24 · 36 · 172 · 43 |
Discriminant |
Eigenvalues |
2- 3- -4 2 -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,78,-515] |
[a1,a2,a3,a4,a6] |
Generators |
[6:13:1] |
Generators of the group modulo torsion |
j |
4499456/12427 |
j-invariant |
L |
4.2091295805248 |
L(r)(E,1)/r! |
Ω |
0.94286451467145 |
Real period |
R |
2.232096719643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105264n1 5848b1 |
Quadratic twists by: -4 -3 |