Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59532d |
Isogeny class |
Conductor |
59532 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-70724016 = -1 · 24 · 34 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 1 11+ -6 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,103,-24] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-33:1] |
Generators of the group modulo torsion |
j |
5619712/3321 |
j-invariant |
L |
5.4676723800885 |
L(r)(E,1)/r! |
Ω |
1.1410435156607 |
Real period |
R |
0.19965906591538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59532e1 |
Quadratic twists by: -11 |