Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35568bm |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-11800608768 = -1 · 216 · 36 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,549,1674] |
[a1,a2,a3,a4,a6] |
Generators |
[6:72:1] |
Generators of the group modulo torsion |
j |
6128487/3952 |
j-invariant |
L |
3.5430483069413 |
L(r)(E,1)/r! |
Ω |
0.79317408223677 |
Real period |
R |
2.2334619765626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4446q1 3952d1 |
Quadratic twists by: -4 -3 |