Atkin-Lehner |
2- 3- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64272ba |
Isogeny class |
Conductor |
64272 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-4692370176 = -1 · 28 · 34 · 133 · 103 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 -4 13- -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-325,3887] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:78:1] [2:57:1] |
Generators of the group modulo torsion |
j |
-14875426816/18329571 |
j-invariant |
L |
11.440937202419 |
L(r)(E,1)/r! |
Ω |
1.2415682910501 |
Real period |
R |
0.3839544874051 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999767 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16068d1 |
Quadratic twists by: -4 |